AP Calculus ABeasymcq1 pt

If f(x)=(2x+1)3f(x)=(2x+1)^3, then f(x)=f'(x)=

A.3(2x+1)23(2x+1)^2
B.6(2x+1)26(2x+1)^2
C.6x(2x+1)26x(2x+1)^2
D.3(2x+1)2(2x+1)3(2x+1)^2(2x+1)

Explanation

Core Concept

Bring the power down to get 3(2x+1)23(2x+1)^2, then multiply by the inner derivative 2. The result is 6(2x+1)26(2x+1)^2.

Correct Answer

B6(2x+1)26(2x+1)^2

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