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Moderate

Differentiate Twice Using the Product Rule

SVCALC-MGHPF1

Consider the function $f(x)=x^3 e^x$.

Find $f''(x)$.

A

$3x^2e^x$

B

$(3x^2+x^3)e^x$

C

$(6x+3x^2)e^x$

D

$(6x+6x^2+x^3)e^x$