Simply, the derivative of is the slope or rate of change of a function at a certain point. Unlike the relative and average change , the derivative is the instantaneous rate

, the derivative of at , is the slope of the tangent line to at .

The derivative is used in classical physics, chemistry, and GPS.

There are two interpretations of a derivative: geometric and physical

## Geometric InterpretationEdit

Find the tangent line to at

## Physical InterpretationEdit

## General Rules Edit

Product Rule

Quotient Rule

Constant Multiple Rule