Calculus/Differentiation

Basics of Differentiation

3.1 Differentiation Defined

3.2 Product and Quotient Rules

3.3 Derivatives of Trigonometric Functions

3.4 Chain Rule

3.5 Higher Order Derivatives: an introduction to second order derivatives

3.6 Implicit Differentiation

3.7 Derivatives of Exponential and Logarithm Functions

3.8 Derivatives of Hyperbolic Functions

3.9 Some Important Theorems

3.10 Exercises

Applications of Derivatives

3.11 L'Hôpital's Rule

3.12 Extrema and Points of Inflection

3.13 Newton's Method

3.14 Related Rates

3.15 Optimization

3.16 Euler's Method

3.17 Approximating Values of Functions

3.18 Exercises