Using the Alternate Form of the Chain Rule
Using the alternate form of the Chain Rule to find the derivative
Finding a Derivative with Exponential Functions and Logarithms
Author: ShaNisaa RaSun
The following problem is solved in this video. It is recommended that you try to solve the problem before watching the video. You can click "Answer" to reveal the answer to the problem.
Problem: Find \(\dfrac{df}{dx}\), where \(f(x)=6x^{-9}-2^x+4\log_3(x).\)
\(\dfrac{df}{dx}=-54x^{-10}-2^x\ln(2)+\dfrac{4}{x\ln(3)}\)
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Trigonometry Derivatives and the Chain Rule: MATH 151 3.3 Problems 1-9
Derivatives of trigonometric functions and using the Chain Rule
Trigonometry Derivatives and the Chain Rule: MATH 151 3.4 Problems 1-9
Derivatives of trigonometric functions and using the Chain Rule
Vectors and Derivatives: MATH 151 3.4 Problems 1-8
Derivatives and vectors with some physics applications
Implicit Differentiation: MATH 151 3.5 Problems 10-13
Implicit differentiation and finding tangent lines
Inverse Trigonometric Functions: MATH 151 Problems 9-12
Properties and derivatives of inverse trigonometric functions
Vectors and Derivatives: MATH 151 3.7 Problems 1-8
Derivatives and vectors with some physics applications
Derivatives and Applications: MATH 151 3.9 Problems 9-15
Tangent lines to parametric equations and related rates examples
MLC WIR 20B M151 week3 #17
Using the graph of a function to sketch a graph of its derivative
MLC WIR 20B M151 week3 #21
Finding the derivative of a function using the limit definition
MLC WIR 20B M151 week3 #22
Finding the derivative of a function using the limit definition
MLC WIR 20B M151 week3 #23
Finding the derivative of a function using the limit definition
MLC WIR 20B M151 week4 #1h
Using the Quotient Rule to differentiate a rational function
MLC WIR 20B M151 week4 #1i
Using the Product Rule to differentiate a function
MLC WIR 20B M151 week4 #1ab
Differentiating functions using the Power Rule
MLC WIR 20B M151 week4 #1cd
Differentiating a function using the Power Rule
MLC WIR 20B M151 week5 #1d
Finding the derivative using implicit differentiation
MLC WIR 20B M151 week5 #2
Finding the derivative using implicit differentiation
MLC WIR 20B M151 week5 #3a
Finding a tangent line to an curve defined implicitly
MLC WIR 20B M151 week5 #3b
Finding a tangent line to an curve defined implicitly
MLC WIR 20B M151 week5 #4ab
Finding the derivative of a function containing an inverse trigonometric function
MLC WIR 20B M151 week5 #4cd
Finding the derivative of a function containing an inverse trigonometric function
MLC WIR 20B M151 week4 #7
Finding the derivatives of compositions of functions from their graphs
MLC WIR 20B M151 week5 #1a
Finding the derivative using implicit differentiation
MLC WIR 20B M151 week5 #1b
Finding the derivative using implicit differentiation
MLC WIR 20B M151 week4 #3
Using the Chain Rule to evaluate the derivative of a composition of functions
MLC WIR 20B M151 week4 #4
Using the Chain Rule to evaluate the derivative of a composition of functions
MLC WIR 20B M151 week4 #5
Using the Chain Rule to find the pattern for a higher order derivative
MLC WIR 20B M151 week4 #1o
Using the Chain Rule to differentiate a function containing trigonometric functions
MLC WIR 20B M151 week4 #1kl
Using the Chain Rule to differentiate functions
MLC WIR 20B M151 week5 #10
Finding the points on a parametric curve where the tangent line is horizontal or vertical
MLC WIR 20B M151 week5 #9a
Finding the tangent line to a parametric curve
MLC WIR 20B M151 week5 #9b
Finding the tangent line to a parametric curve
MLC WIR 20B M151 week6 #12
Using the derivative to find the total distance traveled by a particle
MLC WIR 20B M151 week6 #13
Finding where the tangent line is horizontal or vertical for a parametric equation
MLC WIR 20B M151 week6 #14
Finding the equation of a tangent line to a parametric curve
MLC WIR 20B M151 week6 #15
Finding the equation of a tangent line to an implicit function
MLC WIR 20B M151 week6 #16
Solving for constants so that a piecewise function is differentiable everywhere
MLC WIR 20B M151 week6 #5a
Using the Product Rule to find the derivative of a product of functions
MLC WIR 20B M151 week6 #5b
Using the Quotient Rule to find a derivative
MLC WIR 20B M151 week6 #5c
Using the Chain Rule to find the derivative of a composition of functions
MLC WIR 20B M151 week6 #6
Finding the second derivative of an exponential functino
MLC WIR 20B M151 week6 #7
Finding the speed of an object given a vector function for its position
MLC WIR 20B M151 week6 #8
Finding the point when the tangent line to a function has a particular slope
MLC WIR 20B M151 week6 #9
Finding where a function has horizontal tangent lines
MLC WIR 20B M151 week6 #10
Finding a higher order derivative of a function
MLC WIR 20B M151 week6 #11
Using a linear approximation to approximate the value of a function
MLC WIR 20B M151 week6 #17
Finding the linear approximation for a function
MLC WIR 20B M151 week7 #1a
Finding the absolute maximum and absolute minimum values of a function on a closed interval
MLC WIR 20B M151 week7 #1b
Finding the absolute maximum and absolute minimum values of a function on a closed interval
MLC WIR 20B M151 week7 #1c
Finding the absolute maximum and absolute minimum values of a function on a closed interval
MLC WIR 20B M151 week7 #5
Using the first and second derivatives to sketch the graph of a function
MLC WIR 20B M151 week7 #3
Sketching a curve given information about the function and its derivatives
MLC WIR 20B M151 week7 #4a
Evaluating a limit using L'Hospital's Rule
MLC WIR 20B M151 week7 #4b
Evaluating a limit using L'Hospital's Rule
MLC WIR 20B M151 week7 #2a
Finding a number that satisfies the conclusion of the Mean Value Theorem on an interval
MLC WIR 20B M151 week8 #1
Solving a word problem minimizing area
MLC WIR 20B M151 week8 #2
Solving a word problem maximizing area
MLC WIR 20B M151 week8 #3
Finding the point on a line closest to a point
MLC WIR 20B M151 week8 #5b
Antidifferentiating twice to find a function from its second derivative
MLC WIR 20B M151 week9 #10a
Finding the antiderivative of a polynomial
MLC WIR 20B M151 week9 #10b
Finding the antiderivative of a rational function
MLC WIR 20B M151 week9 #10c
Finding the antiderivative of a function with secant and tangent
MLC WIR 20B M151 week9 #10e
Antidifferentiating twice to find a function from its second d
MLC WIR 20B M151 week9 #10f
Antidifferentiating twice to find a function from its second d
MLC WIR 20B M151 week9 #1
Determining the properties of a function from the graph of its derivative
MLC WIR 20B M151 week9 #2
Using the derivative to determine where a function is increasing and decreasing
MLC WIR 20B M151 week9 #3
Finding the absolute maximum and minimum values of a function on a closed interval
MLC WIR 20B M151 week9 #4
Finding the intervals where a function is increasing and decreasing and its local maximums and minimums
MLC WIR 20B M151 week9 #5
Finding where a function is increasing, decreasing, concave up and concave down and its local extrema and inflection points
MLC WIR 20B M151 week9 #6
Finding where a function is increasing, decreasing, concave up and concave down and its local extrema and inflection points
MLC WIR 20B M151 week9 #7
Finding where a function is increasing, decreasing, concave up and concave down and its local extrema and inflection points
MLC WIR 20B M151 week9 #8a
Evaluating a limit using logarithm properties
MLC WIR 20B M151 week9 #8e
Evaluating a limit with an indeterminant product using L'Hospital's Rule
MLC WIR 20B M151 week9 #9
Finding a number that satisfies the conclusion of the Mean Value Theorem for a function on an interval
MLC WIR 20B M151 week10 #12
Finding the tangent line to a parametric curve
MLC WIR 20B M151 week10 #13
Finding when the tangent line to a parametric curve is vertical or horizontal
MLC WIR 20B M151 week10 #15
Determining the rate that the area of a triangle is increasing based on the rate an angle is increasing
MLC WIR 20B M151 week10 #16
Using a linear approximation to estimate the value of a function
MLC WIR 20B M151 week10 #17
Finding the value for a function that satisfies the Mean Value Theorem on an interval
MLC WIR 20B M151 week10 #18
Determining the properties of a function from the graph of its derivative
MLC WIR 20B M151 week10 #19a
Using L'Hospital's Rule to solve a limit
MLC WIR 20B M151 week10 #23a
Evaluating an indefinite integral by simplifying a fraction to powers of x
MLC WIR 20B M151 week10 #24b
Evaluating a definite integral by first simplifying the integrand
MLC WIR 20B M151 week10 #10a
Finding the derivative of an implicit function
MLC WIR 20B M151 week10 #10b
Finding the derivative of an implicit function
MLC WIR 20B M151 week10 #6c
Using L'Hospital's Rule to evaluate a limit representing a derivative at a point
MLC WIR 20B M151 week10 #8c
Evaluating the limit at infinity of a fraction with exponential functions
MLC WIR 20B M151 week10 #8d
Evaluating the limit at negative infinity of a fraction with exponential functions
MLC WIR 20B M151 week10 #8e
Evaluating a limit at infinity by combining logarithms
MLC WIR 20B M151 week10 #9a
Finding a derivative using the Product Rule
MLC WIR 20B M151 week10 #9b
Finding a derivative using the Chain Rule multiple times
MLC WIR 20B M151 week10 #24e
Using u-substitution to evaluate an indefinite integral
Review for the Common Exam: MATH 152 Exam 3 b Review Problem 6
Review of estimating the sum of a series and the remainder
Review for the Common Exam: MATH 152 Exam 3 b Review Problems 4 & 5
Review of using tests to determine if a series is absolutely convergent, convergent, and divergent
Review for the Common Exam: MATH 152 Exam 2 b Review Problems 8 & 9
Review of improper integrals and the Comparison Theorem
Review for the Common Exam: MATH 152 Exam 3 c Review Problems 10-13
Review of power series properties and writing functions as power series
Review for the Common Exam: MATH 152 Exam 3 c Review Problems 13-18
Review of Taylor and Maclaurin Series and their properties
Review for the Common Exam: MATH 152 Exam 3 c Review Problems 19 & 20
Review of Taylor Polynomials and Taylor's Inequality
Review for the Common Exam: MATH 152 Exam 3 c Review Problems 4 & 5
Review of using tests to determine if a series is absolutely convergent, convergent, and divergent
WIR 20B M152 V90
Finding the surface area of a rotated parametric curve
WIR 20B M152 V96
Finding the area of a region defined using polar coordinates
WIR 20B M152 V81
Finding the Taylor series of a function
WIR 20B M152 V82
Finding the Taylor series of a function
Taylor and Maclaurin Series: MATH 152 11.10 Problems 4-10
Finding Taylor and Maclaurin Series for functions
WIR 20B M152 V83
Finding the Taylor polynomial of a function
WIR 20B M152 V69
Determining if a series is absolutely convergent, conditionally convergent, or divergent.
WIR 20B M152 V75
Finding the interval and radius of convergence for a power series
WIR 20B M152 V76
Finding a power series representation for a function
WIR 20B M152 V77
Finding a power series representation for a function
Representations of Functions as Power Series: MATH 152 11.9 Problems 2 & 3
Finding power series representations for functions and the radius and interval of convergence of the power series
WIR 20B M152 V10
Finding the area of a region bounded by curves
WIR 20B M152 V15
Finding the volume of a solid of revolution using the washer method
WIR 20B M152 V17
Finding the volume of a solid of revolution using cylindrical shells
WIR 20B M152 V22
Evaluating an integral using integration by parts
WIR 20B M152 V23
Evaluating an integral using integration by parts
WIR 20B M152 V26
Evaluating an integral using integration by parts
MATH 152: Integration by Parts Exercise 1
Solving an indefinite integral with an exponential function using integration by parts
MATH 152: Integration by Parts Exercise 2
Solving a definite integral with an exponential function using integration by parts
MATH 152: Integration by Parts Exercise 4
Solving an indefinite integral with a natural logarithm using integration by parts
MATH 152: Integration by Parts Exercise 5
Solving a definite integral with a natural logarithm using integration by parts
MATH 152: Integration by Parts Exercise 8
Solving an indefinite integral with an exponential function using integration by parts
MATH 152: Integration by Parts Exercise 9
Using integration by parts twice for an integral with sine and an exponential function
WIR 20B M152 V1
Integrating an exponential function using u-substitution
WIR 20B M152 V2
Integrating a rational function using u-substitution
WIR 20B M152 V3
Integrating a rational function using u-substitution
MATH 152: u-Substitution Exercise 4
Using u-substitution to evaluate a definite integral with a natural logarithm
MATH 152: u-Substitution Exercise 6
Using u-substitution on an indefinite integral with an exponential function, sine, and cosine
MATH 152: u-Substitution Exercise 8
Using u-substitution to solve an indefinite integral with an exponential function
WIR 20B M152 V34
Evaluating an integral using integration by parts
WIR 20B M152 V35
Evaluating an integral using integration by parts
WIR 20B M152 V35.5
Evaluating an integral using integration by parts
WIR 20B M152 V43
Using the comparison test to determine if an improper integral converges or diverges
MATH 152: Improper Integrals Exercise 2
Solving an improper integral where the upper limit of integration is infinity
MATH 152: Improper Integrals Exercise 4
Solving an improper integral where the upper limit of integration is infinity
MATH 152: Improper Integrals Exercise 6
Solving an improper integral where the upper limit of integration is infinity
Vectors and Derivatives (Product Rule): MATH 171 Problems 1-3
Proving facts about the derivatives of vector functions including the product rule
Vectors and Derivatives: MATH 151 K.1 Problems 1-8
Derivatives and vectors with some physics applications
Derivatives and Applications: MATH 151 K.2 Problems 9-15
Tangent lines to parametric equations and related rates examples
Derivatives and Applications: MATH 171 Problems 7 & 8
Calculating slopes of tangent lines to parametric curves
Review for the Common Exam: MATH 151 Exam 2 Review Problems 1-9
Reviewing the chain rule and the derivatives and limits of trigonometric functions
Review for the Common Exam: MATH 151 Exam 2 Review Problems 21-29
Related rates problems, differentials, linear and quadratic approximations
Review for the Common Exam: MATH 151 Exam 1 Review Problems 26-35
Review of the limit definition of a derivative and calculating the derivative
Review for the Common Exam: MATH 151 Exam 2 Review Problems 10-15
Implicit differentiation and physics applications of derivatives
Review for the Common Exam: MATH 151 Exam 2 Review Problems 16-20
Derivatives of parametric equations and tangent lines
Review for Common Exam: MATH 151 Exam 3 Review Problems 22-24
Optimization problems
Inverse Trigonometric Functions: MATH 151 1.5 Problems 9-12
Properties and derivatives of inverse trigonometric functions
Inverse Trigonometric Functions: MATH 171 Problems 4-6
Properties of inverse trig functions and the derivative of arctangent
Derivatives and Rates of Change: MATH 171 Problems 1-3
Using the limit definition to find derivatives of functions and vector functions
Differentiation Formulas: MATH 171 Problems 4 & 5
Using the limit definition to find a derivative and proving the power rule
Differentiation Formulas: MATH 171 Problems 6 & 7
Proving the Product Rule and the rule for the derivative of a difference of functions
Review for the Common Exam: MATH 151 3.1 Exam 1 Review Problems 26-35
Review of the limit definition of a derivative and calculating the derivative
Differentials and Approximations: MATH 151 3.10 Problems 1-6
Differentials, linear approximations and quadratic approximations
Differentials: MATH 171 Problems 1 & 2
Proving facts about differentials including a product rule
Higher Order Derivatives: MATH 171 Problems 4-6
Finding a formula for a higher order derivative and a formula for the second derivative of a product
Review for the Common Exam: MATH 151 3.2 Exam 1 Review Problems 26-35
Review of the limit definition of a derivative and calculating the derivative
Trigonometry Derivatives and the Chain Rule: MATH 151 3.3 Problems 1-9
Derivatives of trigonometric functions and using the Chain Rule
Trigonometry Derivatives and the Chain Rule: MATH 171 Problems 1-3
Proving the derivatives of trigonometric functions and that sine is continuous
Trigonometry Derivatives and the Chain Rule: MATH 171 Problems 4 & 5
Using the Chain Rule to prove facts about derivatives
Trigonometry Derivatives and the Chain Rule: MATH 151 3.4 Problems 1-9
Derivatives of trigonometric functions and using the Chain Rule
Vectors and Derivatives: MATH 151 3.4 Problems 1-8
Derivatives and vectors with some physics applications
Implicit Differentiation: MATH 151 3.5 Problems 10-13
Implicit differentiation and finding tangent lines
Inverse Trigonometric Functions: MATH 151 Problems 9-12
Properties and derivatives of inverse trigonometric functions
Implicit Differentiation: MATH 171 Problems 6 & 7
Using implicit differentiation to solve a problem and to prove the power rule for rational exponents
Derivatives and Applications: MATH 151 3.9 Problems 9-15
Tangent lines to parametric equations and related rates examples
Absolute Extrema: MATH 171 Problems 4 & 5
Proving Fermat's Theorem and graphing local and absolute extrema
Mean Value Theorem: MATH 171 Problems 6-8
Using the Mean Value Theorem to prove facts about functions
Studying the Shape of Curves: MATH 171 Problems 1-3
What the derivatives of a function tell us about the shape of its graph
Optimization: MATH 171 Problems 1-3
Optimizing values in word problems
Antiderivatives: MATH 171 Problems 4-6
Proving facts about antiderivatives and a physics application
Fundamental Theorem of Calculus: MATH 171 Problems 1-3
Proving and then applying the Fundamental Theorem of Calculus
Integration by Substitution: MATH 171 Problems 4-6
Using u substitution to evaluate integrals and prove facts about logarithms and integrals and
Review for the Common Exam: MATH 152 Exam 3 b Review Problem 6
Review of estimating the sum of a series and the remainder
Review for the Common Exam: MATH 152 Exam 3 b Review Problems 4 & 5
Review of using tests to determine if a series is absolutely convergent, convergent, and divergent
Review for the Common Exam: MATH 152 Exam 2 b Review Problems 8 & 9
Review of improper integrals and the Comparison Theorem
Review for the Common Exam: MATH 152 Exam 3 c Review Problems 10-13
Review of power series properties and writing functions as power series
Review for the Common Exam: MATH 152 Exam 3 c Review Problems 13-18
Review of Taylor and Maclaurin Series and their properties
Review for the Common Exam: MATH 152 Exam 3 c Review Problems 19 & 20
Review of Taylor Polynomials and Taylor's Inequality
Review for the Common Exam: MATH 152 Exam 3 c Review Problems 4 & 5
Review of using tests to determine if a series is absolutely convergent, convergent, and divergent
Increasing, Decreasing, and Non Monotonic Sequences
Explaining increasing, decreasing, and non monotonic for sequences
Taylor and Maclaurin Series: MATH 152 11.10 Problems 4-10
Finding Taylor and Maclaurin Series for functions
Representations of Functions as Power Series: MATH 152 11.9 Problems 2 & 3
Finding power series representations for functions and the radius and interval of convergence of the power series
Integration by Parts: MATH 172 Problems 1 & 2
Proving the formula for integration by parts and a reduction formula
Integration Using Partial Fractions: MATH 172 Problems 8 & 9
Finding a partial fraction decomposition and integrating using partial fractions
WIR2 20B M251 V6
Determining the domain of a three-dimensional vector function
WIR2 20B M251 V7
Finding the limit of a three-dimensional vector function
WIR2 20B M251 V8
Finding a vector equation for the tangent line to a three-dimensional vector function
WIR2 20B M251 V9
Finding the angle of intersection for two three-dimensional vector functions
WIR2 20B M251 V10
Finding the length of a three-dimensional curve
WIR2 20B M251 V11
Finding the curvature of a three-dimensional vector function
WIR2 20B M251 V12
Finding the position vector function given the velocity and an initial position
WIR3 20B M251 V1
Finding and sketching the domain of a function of two variables
WIR3 20B M251 V8
Finding the partial derivatives of a function of two variables
WIR3 20B M251 V9
Finding the partial derivatives of a function of two variables
WIR3 20B M251 V11
Finding all second-order partial derivatives of a function of two variables
WIR4 20B M251 V9
Finding the absolute maximum and minimum values of a function of two variables on a rectangle
WIR4 20B M251 V10
Finding the absolute maximum and minimum values of a function of two variables on a triangular region
WIR5 20B M251 V7
Evaluating a double integral over a given region
WIR5 20B M251 V10
Evaluating a double integral by reversing the order of integration
WIR8 20B M251 V1
Evaluating a line integral along half a circle
WIR8 20B M251 V2
Evaluating a line integral along a curve in space
WIR8 20B M251 V3
Evaluating a line integral along a curve
WIR8 20B M251 V6
Evaluating a line integral of a vector field along an curve
WIR8 20B M251 V7
Evaluating a line integral of a vector field along a curve in space
WIR8 20B M251 V8
Using a line integral to find the work done by a force field moving a particle along a curve
WIR9 20B M251 V5
Finding the curl and divergence of a three dimensional vector field
WIR10 20B M251 V4
Evaluating a surface integral of a vector field
Matrix Derivative and Integral
Explaining how to find the derivative and integral of matrix and vector functions
Scalar-Valued IVP
Showing how the exponential function is the solution to an initial value problem
MATH 152: Sequences Exercise 4
Finding the limit of a sequence
Increasing, Decreasing, and Non Monotonic Sequences
Explaining increasing, decreasing, and non monotonic for sequences
MATH 152: Sequences Exercise 10
Determining if a sequence is increasing, decreasing, or non monotonic
WIR 20B M152 V48
Determining if a sequence is increasing, decreasing, or not monotonic and if it is bounded
The Chain Rule (multivariable) Conceptual V1
Explaining the Chain Rule for multivariable functions
The Chain Rule (multivariable) Exercise V3
Using the Chain Rule for multivariable functions to find the rate a volume is changing
Approximation Using Taylor Polynomials Exercise
Using a Taylor polynomial to approximate the value of a function and estimating the error
The Chain Rule (multivariable) Conceptual V1
Explaining the Chain Rule for multivariable functions
Math 140 5.4 Exercise 3
Rewriting a function with a fractional exponent in radical form
Math 140 Exam 3 Review Exercise 24
Find the domain of a function in interval notation with a fraction and logarithm
Math 140 Exam 3 Review Exercise 13
Stating the domain in interval notation of a function with radicals, fractions, and exponentials
Math 140 Exam 3 Review Exercise 17
Calculating continuously compounded interest for money in an account
Math 140 Exam 3 Review Exercise 18
Using properties of logarithms to write an expression as a single logarithm
Population Model with Exponential Growth
Finding the size of a population of rabbits with exponential growth
Population Model with Exponential Decay
Finding the size of a population of rabbits with exponential decay
Horizontal Asymptote of an Exponential Function
Finding the horizontal asymptote of an exponential function
Horizontal Asymptote of an Exponential Function (2)
Finding the horizontal asymptote of an exponential function
Horizontal Asymptote of an Exponential Function (3)
Finding the horizontal asymptote of an exponential function
Expanding a Logarithmic Expression
Expanding a logarithmic expression using logarithm properties
Condensing a Logarithmic Expression
Condensing logarithmic expressions into a single logarithm
Evaluating Logarithmic Expressions
Finding the exact value of logarithms using logarithmic properties
Vertical Asymptote of a Logarithmic Function
Finding the vertical asymptote of a logarithmic function
Vertical Asymptote of a Logarithmic Function (2)
Finding the vertical asymptote of a logarithmic function
Domain and x-intercepts of a Logarithmic Function
Finding the domain and x-intercepts of a logarithmic function
Domain and x-intercepts of a Logarithmic Function (2)
Finding the domain and x-intercepts of a logarithmic function
Solving an Equation with Logarithms
Solving a logarithmic equation using properties of logarithms
Solving an Equation with a Logarithmic Function
Solving a logarithmic equation using properties of logarithms
A Composition of Tangent and Arccosine
Evaluating a composition of tangent and arccosine
WIR 20B M152 V51
Determining if a series converges or diverges
WIR 20B M152 V53
Determining if a series converges or diverges and find the sum if it converges
WIR 20B M152 V56
Using the comparison test to determine if a series converges or diverges
WIR 20B M152 V57
Using the comparison test to determine if a series converges or diverges
WIR 20B M152 V58
Using the comparison test to determine if a series converges or diverges
WIR 20B M152 V59
Using the limit comparison test to determine if a series converges or diverges
WIR 20B M152 V63
Using the Alternating Series Test to determine if a series converges or diverges
Parametric Plots and Tangents at a Given t-value in Python
Using Python to find the tangent line to a parametric equation and plot the two graphs
Tangents to Parametrized Curves at a Given Point in Python
Using Python to plot a parametrized curve and its tangent line at a point
Approximating Definite Integrals with Riemann Sums in Python
Using Python to approximate a definite integral using left endpoint Riemann sums
Finding and Graphing Tangent Lines to a Curve in Python
Using Python to find the equation of the tangent line to a curve and graphing the result
Finding Derivatives in Python
Finding derivatives in Python and solving for the rate of change of a force
Finding Horizontal Tangent Lines in Python
Finding when the tangent line to a function is horizontal in Python
Finding Intervals of Increase/Decrease and Concavity in Python
Using Python to find the intervals where a function is increasing or decreasing
List Comprehension and Patterns in Higher Derivatives in Python
Using Python's list comprehension tool to find several higher order derivatives of a function at once
Domain Restrictions
Explaining domain restrictions for denominators, even roots, and logarithms
Domain of Logarithmic Functions Video 1
Finding the domain of a logarithmic function
Domain of Combinations of Functions Video 1
Finding the domain of a function with a denominator, square root, and logarithm
Domain of Combinations of Functions Video 2
Finding the domain of a function with a natural logarithm and denominator
Properties of Radical Functions and Expressions Video 2
How to rewrite radical terms as power terms
Properties of Power and Exponential Expressions Video 1
Properties of exponents applied to power and exponential expressions
Properties of Power and Exponential Expressions Video 2
Properties of multiplying and simplifying power and exponential expressions
Properties of Power and Exponential Expressions Video 3
Properties of exponents applied to power and exponential expressions
Properties of Power and Exponential Expressions Video 6
Simplifying power and exponential expressions using properties of exponents
Properties of Power and Exponential Expressions Video 7
Simplifying power and exponential expressions using properties of exponents
Properties of Power and Exponential Expressions Video 9
Simplifying an expression with both power and exponential functions using properties of exponents
Properties of Power and Exponential Expressions Video 4
Properties of exponential growth and decay functions
Properties of Power and Exponential Expressions Video 5
Properties of the exponential function with base e
Properties of Logarithmic Functions and Expressions Video 2
Explaining the basic properties of logarithmic functions
Properties of Logarithmic Functions and Expressions Video 3
Expanding logarithmic expressions using logarithm rules
Properties of Logarithmic Functions and Expressions Video 4
Condensing a logarithmic expression into a single logarithm
Properties of Power and Exponential Expressions Video 1
Properties of exponents applied to power and exponential expressions
Properties of Power and Exponential Expressions Video 2
Properties of multiplying and simplifying power and exponential expressions
Properties of Power and Exponential Expressions Video 3
Properties of exponents applied to power and exponential expressions
Properties of Power and Exponential Expressions Video 4
Properties of exponential growth and decay functions
Properties of Power and Exponential Expressions Video 5
Properties of the exponential function with base e
Properties of Logarithmic Functions and Expressions Video 2
Explaining the basic properties of logarithmic functions
Introduction to Riemann Sums
Estimating the area under a function using right-hand, left-hand, and midpoint Riemann sums
Review for the Common Exam: MATH 151 Exam 1 Review Problems 26-35
Review of the limit definition of a derivative and calculating the derivative