Determine if the Rolles theorem can be applied. If it applies find "c" such that f(x)=(x-2)(x+3)^2, [-3,2]
f is differentiable and continuous since its a polynomial function
and $\displaystyle f(-3)=f(2)$
so the rolle's theorem can be applied here
I do not know what do you mean with:
I think you mean find "c" that satisfies the rolle's theorem, right?