## Elements of Calculus |

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### Contents

Functions and Algebra | 1 |

Derivatives | 42 |

Curve Sketching and Optimization | 81 |

Copyright | |

11 other sections not shown

### Common terms and phrases

amount antiderivative approximate average ball calculate called cells Chain Rule compounded continuously compute concave constant converges cost function curve decreasing defined definite integral denotes density function determine differential equation divergent dollars domain evaluate Exact value Example Exercise Set exponential extrapolation Find the area flipping formula function f(x given function growth Hence improper integral increasing infinite series inflection point initial value problem interest rate interval invested Let f(x limit linear marginal cost mathematical method nth-degree Taylor polynomial obtain population Power Rule probability quadratic radians radius random variable rate of change real number relative extreme points relative maximum relative minimum point revenue Riemann sum Second Derivative Test Section selling sequence shown in Figure Simpson's Rule Sketch the graph slope Solution Let solve square straight line Suppose tangent line Taylor polynomial Theorem tion Trapezoidal Rule unit circle velocity x-axis