Derivative Function

The derivative function of a function f(x) is a function that associates to each real number its derivative, if it exists. It is denoted by f'(x).

Derivative Function

Examples

Calculate the derivative function of f(x) = x2 − x + 1.

Derivative Function Exercise

Derivative Function Operations

Derivative Function Operations

Derivative Function Operations

Derivative Function Solution

Find f'(−1), f'(0) and f'(1).

f'(−1) = 2(−1) − 1 = −3

f'(0) = 2(0) − 1 = −1

f'(1) = 2(1) − 1 = 1