What is the instantaneous rate of change of $f(x)=7x^3-8x^2+9x$ at $x=2$ ?

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Answer 1 · 2016-01-04T02:44:49

Find the value of the first derivative at $x=2$ ...

$f'(x)=21x^2-16x+9$

$f'(2)=21(2^2)-16(2)+9=61$

instantaneous rate of change $=61$

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What is the instantaneous rate of change of f(x)=7x^3-8x^2+9x f(x)=7x^3-8x^2+9x at x=2x=2?