AP Calculus ABmediummcq1 pt

If F(x)=0x2costdtF(x)=\int_0^{x^2}\cos t\,dt, then F(x)=F'(x)=

A.cos(x2)\cos(x^2)
B.2xcos(x2)2x\cos(x^2)
C.sin(x2)\sin(x^2)
D.2xsin(x2)2x\sin(x^2)

Explanation

Core Concept

By FTC part 1 with the chain rule, F(x)=cos(x2)2xF'(x)=\cos(x^2)\cdot 2x.

Correct Answer

B2xcos(x2)2x\cos(x^2)

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