Applications of derivatives videos

Interpreting the meaning of the derivative in context

Introduction to one-dimensional motion with calculus

Interpreting direction of motion from velocity-time graph

Interpreting direction of motion from position-time graph

Interpreting change in speed from velocity-time graph

Worked example: Motion problems with derivatives

Total distance traveled with derivatives

Applied rate of change: forgetfulness

Marginal cost & differential calculus

Related rates intro

Analyzing related rates problems: expressions

Analyzing related rates problems: equations (Pythagoras)

Analyzing related rates problems: equations (trig)

Differentiating related functions intro

Worked example: Differentiating related functions

Related rates: Approaching cars

Related rates: Falling ladder

Related rates: shadow

Related rates: water pouring into a cone

Related rates: balloon

Local linearity and differentiability

Local linearity

Worked example: Approximation with local linearity

Linear approximation of a rational function

L'Hôpital's rule introduction

L'Hôpital's rule: limit at 0 example

L'Hôpital's rule: limit at infinity example

Proof of special case of l'Hôpital's rule

L'Hôpital's rule: challenging problem

L'Hôpital's rule: solve for a variable

L’Hôpital’s rule (composite exponential functions)