Calculus/Differentiation

Basics of Differentiation
Differentiation Defined

Product and Quotient Rules

Derivatives of Trigonometric Functions

Chain Rule

Higher Order Derivatives: an introduction to second order derivatives

Implicit Differentiation

Derivatives of Exponential and Logarithm Functions

Derivatives of Hyperbolic Functions

Some Important Theorems

Exercises

Applications of Derivatives
L'Hôpital's Rule

Extrema and Points of Inflection

Newton's Method

Related Rates

Optimization

Euler's Method

Approximating Values of Functions

Exercises