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Tags:DerivativeCritical ValueHow-To Calculus

Finding Critical Values

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.

Exercises

  1. \(x=-2,0,6\)
  2. \(x=-\sqrt{27},0,\sqrt{27}\)

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MLC WIR 20B M151 week4 #2b

MLC WIR 20B M151 week4 #2b thumbnail
Using the Chain Rule to find a first and second derivative

MLC WIR 20B M151 week4 #3

MLC WIR 20B M151 week4 #3 thumbnail
Using the Chain Rule to evaluate the derivative of a composition of functions

MLC WIR 20B M151 week4 #4

MLC WIR 20B M151 week4 #4 thumbnail
Using the Chain Rule to evaluate the derivative of a composition of functions

MLC WIR 20B M151 week4 #5

MLC WIR 20B M151 week4 #5 thumbnail
Using the Chain Rule to find the pattern for a higher order derivative

MLC WIR 20B M151 week4 #6

MLC WIR 20B M151 week4 #6 thumbnail
Using the Chain Rule to find the pattern for a higher order derivative

MLC WIR 20B M151 week4 #7

MLC WIR 20B M151 week4 #7 thumbnail
Finding the derivatives of compositions of functions from their graphs

MLC WIR 20B M151 week5 #10

MLC WIR 20B M151 week5 #10 thumbnail
Finding the points on a parametric curve where the tangent line is horizontal or vertical

MLC WIR 20B M151 week5 #1a

MLC WIR 20B M151 week5 #1a thumbnail
Finding the derivative using implicit differentiation

MLC WIR 20B M151 week5 #1b

MLC WIR 20B M151 week5 #1b thumbnail
Finding the derivative using implicit differentiation

MLC WIR 20B M151 week5 #1c

MLC WIR 20B M151 week5 #1c thumbnail
Finding the derivative using implicit differentiation

MLC WIR 20B M151 week5 #1d

MLC WIR 20B M151 week5 #1d thumbnail
Finding the derivative using implicit differentiation

MLC WIR 20B M151 week5 #2

MLC WIR 20B M151 week5 #2 thumbnail
Finding the derivative using implicit differentiation

MLC WIR 20B M151 week5 #3a

MLC WIR 20B M151 week5 #3a thumbnail
Finding a tangent line to an curve defined implicitly

MLC WIR 20B M151 week5 #3b

MLC WIR 20B M151 week5 #3b thumbnail
Finding a tangent line to an curve defined implicitly

MLC WIR 20B M151 week5 #4ab

MLC WIR 20B M151 week5 #4ab thumbnail
Finding the derivative of a function containing an inverse trigonometric function
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