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What is the instantaneous rate of change of $f(x)=(x-2)^3$ at $x=3$ ?

1 Answer

Feb 18, 2016

I found: $3$

Explanation:

The instantaneous rate of change will be the derivative evaluated at that point:

$f'(x)=3(x-2)^2$ Using the Chain Rule:

and at $x=3$ :

$f'(3)=3(3-2)^2=3$

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