Question #efb97

1 Answer
Andy Y.
May 11, 2017

f'(x)=3e^(-(x^2/2))(1-x^2)

Explanation:

Using the Product Rule with

g(x)=3x and h(x)=e^(-(x^2/2))

f'(x)=g(x)h'(x)+g'(x)h(x)

Find the derivatives, g'(x) and h'(x)
g'(x)=3 and h'(x)=-xe^(-(x^2/2))

Plug this into the formula for the Product Rule
f'(x)=3x(-xe^(-(x^2/2)))+3e^(-(x^2/2))
=3e^(-(x^2/2))(1-x^2)

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