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How do you find the derivative of #e^((x^2)/2)#?

1 Answer

Mar 14, 2018

#f'(x) = xe^(x^2/2)#

Explanation:

#f(x) = e^(x^2/2)#

We need to use the chain rule:

#f'(x) = (d(e^(x^2/2)))/(d(x^2/2)) * (d(x^2/2))/(dx)#

#f'(x) = e^(x^2/2) * ((2x)/2)#

#f'(x) = xe^(x^2/2)#

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