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    Avg. Rate of Change /Find Derivative /Instant Rate of Change

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    For the function f(x)=(3x)/(x+2)

    a. find the average rate of change from x=2 to x=5

    b. find the derivative f'(x) from first principles, by setting up the difference quotient, (f(x+h)-f(x))/(h) and finding lim h->0 (f(x+h)-f(x))/(h)

    c. use part b to find the rate of change of f(x) at x=2

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    Solution Summary

    The average rate of change is determined. the derivatives for the instant rate of change is found. Step by step solution provided.