# Introduction to Differentiation Math Review

math tutorials > introduction to differentiation

## What is differentiation? Definition of a derivative.

**Differentiation** is the process of finding the **derivative** *f'(x)* of
a function *f*. It is a part of maths called **Calculus**.

The derivative is the gradient of the tangent of the graph of *f* at
the point *x*.

## Differentiation examples

f(x) = x³ | f'(x) = 3x² | |

f(x) = 2x² | f'(x) = 2 x 2x = 4x | |

f(x) = 7x³ | f'(x) = 7 x 3x² = 21x² |

When an expression has several terms, find the derivative of each term separately. You may need to expand brackets first.

f(x) = 3x³ + 2x² | f'(x) = 9x² + 4x |

* *

## Note:

- The derivative of
*x*is 1. - The derivative of any number (e.g. 1) is 0.

## Differentiation problems for you to try.

Differentiate: