using the differentiation with rules

[helplz]

hi i am having trouble with this one i understand what you must use the chain rule but i am having issues surrounding the e^-x^2 your help would be much appreciated

 

[Deleted member 4993]

View attachment 23896
hi i am having trouble with this one i understand what you must use the chain rule but i am having issues surrounding the e^-x^2 your help would be much appreciated

let us define:

g(x) = \(\displaystyle e^{-x^2} \ = e^{h(x)}\)

applying chain rule, we get :

g'(x) = (e^[h(x)]) * h'(x)

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