# First Derivative Test

The first derivative test is a method for determining the maximum and minimum values of a function using its first derivative.

First derivative test is a college-level concept that would be first encountered in a Calculus I course. It is an Advanced Placement Calculus AB topic and is listed in the California State Standards for Calculus.

### Prerequisites

Critical Point: | A critical point is a point in the graph of a function where the derivative is either zero or undefined. |

Derivative: | A derivative is the infinitesimal rate of change in a function with respect to one of its parameters. |

Maximum: | The maximum of a set, function, etc. is the largest value attained by that object. |

Minimum: | The minimum of a set, function, etc. is the smallest value attained by that object. |