What is the instantaneous rate of change of $f(x)=-2x^3+5 x^2-x$ at $x=2$ ?

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Answer 1 · 2016-08-13T09:40:09

$-5$

The $color(blue)"instantaneous rate of change"$ is the value of f'(2)

$rArrf'(x)=-6x^2+10x-1$

$rArrf'(2)=-6(2)^2+10(2)-1=-24+20-1=-5$

What is the instantaneous rate of change of f(x)=-2x^3+5 x^2-x f(x)=-2x^3+5 x^2-x at x=2x=2?