# Quotient rule

Given two differentiable functions, the quotient rule can be used to determine the derivative of the ratio of the two functions, . This can also be written as . The quotient rule is as follows:

Example

Given:

f(x) | = | e^{x} |

g(x) | = | 3x^{3} |

Plug f(x) and g(x) into the quotient rule formula:

= | |||

= | |||

= | |||

= | |||

= |

See also derivatives, product rule, chain rule.