## Calculus and Analytic Geometry |

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### Contents

The Rate of Change of a Function | 1 |

Derivatives of Algebraic Functions | 40 |

Applications | 79 |

Copyright | |

21 other sections not shown

### Common terms and phrases

angle approaches zero approximation area bounded ARTICLE axis calculate chain rule circle complex number constant converges cos2 cosh cylinder denote determinant differential equation distance diverges double integral dx dx dx dy dy dx dy/dx ellipse equal Evaluate Example expression Find the area Find the volume formula function f(x geometric given graph Hence hyperbola improper integral inertia integral intersection length limit Mean Value Theorem natural logarithms negative obtain origin parabola parallel parametric equations partial derivatives perpendicular plane point P(x polar coordinates positive number problem radius rectangle represents respect result rotating rotation of axes satisfy sec2 Show sin2 sinh slope Solution solve straight line substitute surface tangent tanh Theorem tion triangle unit vector velocity vertical x-axis y-axis z-axis