What is the derivative of 1/(e^{-x}) ?

The derivative of 1/(e^{-x}) is e^x

What is the first derivative of 1/(e^{-x}) ?

The first derivative of 1/(e^{-x}) is e^x

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\frac{d}{d x} (\frac{1}{e ^{- x}})

e^{x}

Solution steps

\frac{d}{d x} (\frac{1}{e ^{- x}})

Apply exponent rule:

\frac{1}{a} = a^{- 1}

= \frac{d}{d x} (e^{x})

Apply the common derivative:

\frac{d}{d x} (e^{x}) = e^{x}

= e^{x}

What is the derivative of 1/(e^{-x}) ?
The derivative of 1/(e^{-x}) is e^x
What is the first derivative of 1/(e^{-x}) ?
The first derivative of 1/(e^{-x}) is e^x