Derivatives

Revisiting Tangent Lines

Definition of the Derivative

Interpretations of the Derivative

Arithmetic of Derivatives - a Differentiation Toolbox

Proofs of the Arithmetic of Derivatives

Using the Arithmetic of Derivatives – Examples

Derivatives of Exponential Functions

Derivatives of Trigonometric Functions

One More Tool – the Chain Rule

The Natural Logarithm

Implicit Differentiation

Inverse Trigonometric Functions

The Mean Value Theorem

Higher Order Derivatives

(Optional) — Is${\lim }_{x\to c}{f}^{\mathrm{\prime }}(x)\backslash lim\_\{x\backslash to\; c\}f\text{'}(x)$Equal to$f^{\mathrm{\prime }}(c)\text{?}f\text{'}(c)\backslash text\{?\}$