# Basic differentiation review

Review the basic differentiation rules and use them to solve problems.

## What are the basic differentiation rules?

Sum rule | |

Difference rule | |

Constant multiple rule | |

Constant rule |

The

**Sum rule**says the derivative of a sum of functions is the sum of their derivatives.The

**Difference rule**says the derivative of a difference of functions is the difference of their derivatives.The

**Constant multiple rule**says the derivative of a constant multiplied by a function is the constant multiplied by the derivative of the function.The

**Constant rule**says the derivative of any constant function is always .*Want to learn more about basic differentiation rules? Check out this video.*

## What problems can I solve with basic differentiation rules?

You can find the derivatives of functions that are combinations of other, simpler, functions. For example, is defined as . We can find as follows;

We used the basic differentiation rules to find that .

Now suppose we are also given that and . We can find as follows: