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How do you differentiate #f(x)=sin(e^(x^2-2))# using the chain rule?

1 Answer

Apr 26, 2017

#f'(x)=2xe^(x^2-2)cos(e^(x^2-2))#

Explanation:

#f(x)=sin(e^(x^2-2))#

Use the chain rule to differentiate (derivative of the outside times derivative of the inside):

#f'(x)=cos(e^(x^2-2))(2xe^(x^2-2))#

#f'(x)=2xe^(x^2-2)cos(e^(x^2-2))#

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