How do you find the derivative of $e^{\frac{x^{2}}{2}}$ $e^((x^2)/2)$ ?

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Answer 1 · 2018-03-14T02:00:29

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

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

We need to use the chain rule:

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

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

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

How do you find the derivative of e^((x^2)/2)ex22e^((x^2)/2)?