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

Answer 1

William Abdalla

# - e^-x #

Using 'chain rule':

then #d/dx (e^-x ) = e^-x .d/dx (-x ) =e^-x .(-1) = - e^-x #

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Answer 2

Christopher Allers

The derivative of ( e^{-x} ) with respect to ( x ) is ( -e^{-x} ).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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