(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find any and all points inside the interval (0,3) where the instantaneous rate of change of f equals the average rate of change of f over the interval [0,3], for the equation

f(x) = 4x^2 - x^3

2. Relevant equations

3. The attempt at a solution

Not really sure how to do this. How do I find the average rate of change over that interval? I was thinking take the derivative:

f'(x) = 8x - 3x^2

plugging in 0 and 3 to get f'(0) = 0, and f'(3) = -3. So the average rate of change would be

-1.5?

And then saying

-1.5 = = 8x - 3x^2? I don't know, gah. How do I solve this problem?

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# Homework Help: Rate of change question

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