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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