What is the derivative of $e^{- x}$ $e^(-x)$ ?

1 Answer

Jan 24, 2016

$- e^{- x}$ $- e^-x$

Explanation:

Using 'chain rule':

then $\frac{d}{d x} (e^{- x}) = e^{- x} . \frac{d}{d x} (- x) = e^{- x} . (- 1) = - e^{- x}$ $d/dx (e^-x ) = e^-x .d/dx (-x ) =e^-x .(-1) = - e^-x$

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