## Calculus for business and life |

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### Contents

The Derivative | 1 |

Further Applications of the Derivative | 101 |

Functions of Several Variables | 134 |

Copyright | |

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### Common terms and phrases

algebraic antiderivative antidifferentiation apply Assume average rate bacteria basic brand calculus chain rule coefficient composite compute concave constant continuous function coordinates critical points curve decreasing defined denominator denote the number Determine the interval deviation function differential equation distance domain dy/dx equal evaluate Example EXERCISES exponential exponential function exponents expression factor feet per second Figure fractions function f(x graph of f(x growth rate horizontal illustrate inches income independent variable least squares linear function ln(x logarithm maximize maximum MC(x method miles per hour minimize minimum multiply negative notation optimization problems partial derivatives plot population positive power formula power function product rule quantity quotient rule rate of change rent represents result rising secant second derivative second derivative test sketch the graph solve speed substitute subtract tangent line tion total cost units vertical x-axis y-axis y-coordinate y-intercept zero