Moderate# When Are Derivatives the Same?

APCALC-PFGBME

Which of the following are equivalent to $\cfrac{d}{dx} (3x^3)$?

I. $y'$ when $y=\cfrac{3}{2} \left( 2x^3-\cfrac{2}{3} \right)$.

II. $\cfrac{dy}{dx}$ when $y-3x^3=15$.

III. $f'(x)$ when $f(x)=(3x-2)^3$.