AP Calculus ABeasymcq1 pt

If f(x)=xexf(x)=xe^x, then f(x)=f'(x)=

A.exe^x
B.xexxe^x
C.ex(1+x)e^x(1+x)
D.ex+1e^x+1

Explanation

Core Concept

The product rule gives 1ex+xex=ex(1+x)1\cdot e^x+x\cdot e^x=e^x(1+x). The first term comes from differentiating xx, the second from differentiating exe^x.

Correct Answer

Cex(1+x)e^x(1+x)

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