alleryThe derivative of $x e^x$ with respect to $x$ is:
A$x e^{x-1}$
B$e^x(1 + x)$
C$e^x(x - 1)$
D$e^x$
Answer & Solution
Correct answer: B. $e^x(1 + x)$
Product rule: d/dx(x·eˣ) = 1·eˣ + x·eˣ = eˣ(1+x).
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