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Further Applications of the Derivative
Functions of Several Variables
6 other sections not shown
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 In(x inches income independent variable least squares linear function ln(x logarithm marginal cost function maximize maximum MC(x method 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 slope of tangent solve speed substitute subtract tangent line tion units vertical x-axis y-axis y-coordinate y-intercept zero