# Derivative as an Instantaneous Rate of Change

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.

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