## Differentiation - Product, Quotient, Chain Rules

The three rules are given bythe formulae

Product Rule

Quotient Rule

Chain Rule

For each of these rules you can complete the table

u | v |

u' | v' |

Then sub into the formula

Examples

Differentiate

u | v |

u' 1 | v' |

Differentiate

u | v x |

u' | v' 1 |

Differentiate

u | v |

u' \[cos v\] | v' |

\[(u(v))'=v'u'(v)=(2x+1)cos(x^2+x)\]