Find the limit as x approaches 2 of the average rate of change function.

f(x) = x^3+2x^2+3

Question

Find the limit as x approaches 2 of the average rate of change function.

f(x) = x^3+2x^2+3

anonymous · Answer

This one is really tricky and I can't quite solve it properly

anonymous · Answer

I don't know how to solve this but maybe @johnweldon1993 or @abb0t can help. :)

anonymous · Answer

Ok thank you

johnweldon1993 · Answer

Oh I hate this wording -_- but basically this is just taking the derivative of the function...and plugging in x = 2 

$$\large f(x) = x^3 + 2x^2 + 3$$
$$\large f'(x) = ? $$

anonymous · Answer

Yeah I don't like it either. I got 19 for f(2)

johnweldon1993 · Answer

Well you get 19 for f(2) yes....however...we dont need f(2) we need f '(2) *known as f "prime" or the derivative of f(x)

anonymous · Answer

-19

anonymous · Answer

We haven't gotten to derivatives yet in our class. This problem is from the limits section in our hw and my book is telling me to use the average rate of change function to find a simplified equation and then plug 2 into it

anonymous · Answer

So I don't really know what that mean essentially

anonymous · Answer

*means