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AP® Calculus AB-BC

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

A

I only.

B

I and II only.

C

I and III only.

D

I, II, and III.