What is the derivative of e^{-y} ?

The derivative of e^{-y} is -e^{-y}

What is the first derivative of e^{-y} ?

The first derivative of e^{-y} is -e^{-y}

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derivative of

e^{- y}

- e^{- y}

Solution steps

\frac{d}{d y} (e^{- y})

Apply the chain rule:

e^{- y} \frac{d}{d y} (- y)

= e^{- y} \frac{d}{d y} (- y)

\frac{d}{d y} (- y) = - 1

= e^{- y} (- 1)

Simplify

= - e^{- y}

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n = 1 \sum \infty n^{2} e^{- n^{2}}

\int \frac{3 x ^{2}}{1 - x ^{2}} d x

What is the derivative of e^{-y} ?
The derivative of e^{-y} is -e^{-y}
What is the first derivative of e^{-y} ?
The first derivative of e^{-y} is -e^{-y}