Calculating Limits Using the Limit Laws The Precise Definition of a Limit One-Sided Limits and Limits at Infinity Infinite Limits and Vertical Asymptotes Continuity

The Derivative as a Function Differentiation Rules

The Derivative as a Rate of Change

Derivatives of Trigonometric Functions

The Chain Rule and Parametric Equations

Implicit Differentiation

Related Rates

Linearization and Differentials

Extreme Values of Functions

The Mean Value Theorem

Applied Optimization Problems

Indeterminate Forms and L'HÃ´pital's Rule

Newton's Method

The Fundamental Theorem of Calculus

Indefinite Integrals and the Substitution

Substitution and Area Between Curves

Work

Natural Logarithms

The Exponential Function

ax and loga x

Exponential Growth and Decay

Relative Rates of Growth

Inverse Trigonometric Functions

Hyperbolic Functions