AP Calculus ABeasymcq1 pt

If f(x)=3x2f(x)=3x^2, then f(x)=f'(x)=

A.2x2x
B.6x6x
C.3x3x
D.6x26x^2

Explanation

Core Concept

By the constant multiple rule, ddx[3x2]=3ddx[x2]=3(2x)=6x\dfrac{d}{dx}[3x^2]=3\cdot\dfrac{d}{dx}[x^2]=3(2x)=6x. The constant factor stays as a multiplier.

Correct Answer

B6x6x

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