Alright, the question is:

By identifying each of the following limits as a derivative, find the value of the limit.

lim h->0 (((27+h)^1/3)-3)/h

I see how this fits into the definition of a derivative

f'(a) = lim h->0 (f(a+h) - f(a))/h, but I don't understand how I'm supposed to use this information to evaluate the limit.

I see that the f(x) = cuberoot (x) and a=27 so f(a) = 3

Any instruction would be highly appreciated. I'm taking an online calculus course so can only correspond with my tutor via email and am finding her to be extremely unhelpful.

Thanks!