How to find instantaneous rate of change for $f(x)=x^3+x^2$ at (2, 12)?

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Answer 1 · 2017-07-20T18:52:37

The instantaneous rate of change is given by the derivative.

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

At $x=2$ , the instantaneous rate of change is

$f'(2) = 3(2)^2+2(2) = 16$

Units are $"units of " f$ / $"units of "x$

How to find instantaneous rate of change for f(x)=x^3+x^2f(x)=x^3+x^2 at (2, 12)?