How do you find the instantaneous rate of change for $f(x)= x^3 -2x$ for [0,4]?

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How do you find the instantaneous rate of change for $f(x)= x^3 -2x$ for [0,4]?

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Answer 1 · 2016-02-15T22:50:21

A quick note on terminology: you cannot find the instantaneous rate of change over the interval $[0,4]$ . You can, however, find the average rate of change over the interval, which is given by

$(f(4)-f(0))/(4-0)=(56-0)/4=14$

If you wanted to find the instantaneous rate of change at a point $x=a$ , you would find $f'(a)$ , where $f'(x)$ is the function's derivative.

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How do you find the instantaneous rate of change for $f(x)= x^3 -2x$ for [0,4]?

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How do you find the instantaneous rate of change for f(x)= x^3 -2xf(x)= x^3 -2x for [0,4]?

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How do you find the instantaneous rate of change for $f(x)= x^3 -2x$ for [0,4]?