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    Derivative as an Instantaneous Rate of Change

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    The value (in thousands of dollars) of a certain car is given by the function V=48/t+3 where t is measured in years. Find a general expression for the instantaneous rate of change of V with respect to t and evaluate this expression when t =3 years. Will the general expression be -48/(t+3)^2, and the rate change -$1300/year?

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    Solution Preview

    We have the value expressed as

    V =48/(t + 3)

    We can write this as

    V = 48*(t + 3)^-1

    Now we are able to find the first derivative of V ...

    Solution Summary

    Derivatives as an instantaneous rate of change is examined.