# quotient rule

The *quotient rule ^{}* says that the derivative of the quotient $f/g$ of two differentiable functions $f$ and $g$ exists at all values of $x$ as long as $g(x)\ne 0$ and is given by the formula

$$\frac{d}{dx}\left[\frac{f(x)}{g(x)}\right]=\frac{g(x){f}^{\prime}(x)-f(x){g}^{\prime}(x)}{{[g(x)]}^{2}}$$ |

The Quotient Rule and the other differentiation^{} formulas allow us to compute the derivative of any rational function.

Title | quotient rule |
---|---|

Canonical name | QuotientRule |

Date of creation | 2013-03-22 12:38:51 |

Last modified on | 2013-03-22 12:38:51 |

Owner | Luci (289) |

Last modified by | Luci (289) |

Numerical id | 13 |

Author | Luci (289) |

Entry type | Theorem |

Classification | msc 26A06 |