# Differential Calculus

## Section 1

Introduction to Differential CalculusThe Limit of a Function

Limit Laws

Continuity

Limits Involving Infinity

## Section 2

Definition of a DerivativeDerivatives of Polynomials

The Product and Quotient Rule

Derivatives of Trigonometric Functions

The Chain Rule

Implicit Differentiation

Derivatives of Exponential and Logarithmic Functions

## Section 3

Maximum and Minimum ValuesMean Value Theorem and Rolles Theorem

Related Rates

L'Hopital's Rule

Newton's Method