What is the derivative of #e^(-x)#?

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#-e^-x# is derivative of #e^-x#

Explanation:

#f(x) = e^-x#

differentiating on both sides

#f'(x) = e^-x * -1#

differentiation of #e^-x = e^-x*-1# since differentiation of #e^x = e^x#, but the derivative of #-x# by applying the chain rule is #-1#.

Therefore #f'(x) = -e^-x#.

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