## Partial differentiation |

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### Contents

Introduction | 1 |

A Review of previous knowledge | 9 |

B Basic definitions | 19 |

Copyright | |

11 other sections not shown

### Common terms and phrases

ai(x angle arctan binary function Boyle's law cartesian coordinates circle cm/sec condition constant continuous convex convex set critical pairs curve defined definition denote dependent-variable notation depends diagram direction-cosines directional derivative example exists extremum fa(a fa(x fe(a Find a formula find the derivatives Find the rate-of-change fo(a given gives graph greatest value H. A. Thurston height homogeneous coordinates horizontal Illustrative problem instance Jacobian least value Let us consider Let us suppose maxima and minima maximum minimum n-ary functions neighborhood non-vertical tangent non-zero obeys the chain-rule pairs of numbers partial derivative plane polar coordinates polar system positive pressure proof Prove r-cos r-sin radius rate-of-change of volume relation ri(x satisfy the equation similarly singulary functions slope solution solve specific heat surface system of coordinates tangent-plane Taylor's theorem temperature ternary theorem three variables units vertical zero