Marginal Analysis and Marginal Average Functions

Marginal Analysis and Marginal Average Functions

Proofs of the Cauchy-Schwarz Inequality and a property of vector projections

Proving facts about the derivatives of vector functions including the product rule

Calculating slopes of tangent lines to parametric curves

Properties of inverse trig functions and the derivative of arctangent

Proving a property of scalar multiplication for limits using the epsilon-delta definition and using the Squeeze Theorem for Limits.

Proving the derivatives of trigonometric functions and that sine is continuous

Examples involving the tangent line to an exponential function and finding the derivative of hyperbolic cosine