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How do you find the derivative of #f(x) = (x^3)(e^x)#?

1 Answer

Jun 20, 2015

#f'(x)=x^2e^x(3+x)#

Explanation:

You can use the Product Rule:
#f(x)=h(x)g(x)# derived gives you:
#f'(x)=h'(x)g(x)+h(x)g'(x)#

in your case:
#f'(x)=3x^2e^x+x^3e^x=x^2e^x(3+x)#

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