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Consider the following function. f ( x ) = x 3/2 Find its average rate of change over the interval [4,25]. y x = Compare

Consider the following function.

f(x) =x3/2

Find its average rate of change over the interval [4,25].

y
x

=

Compare this rate with the instantaneous rates of change at the endpoints of the interval.

f'(4) =
f'(25) =

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