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

The derivative of e^{-1x} is -e^{-x}

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

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

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Popular >

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

- e^{- x}

Solution steps

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

Simplify

e^{- 1 \cdot x} : e^{- x}

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

Apply the chain rule:

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

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

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

= e^{- x} (- 1)

Simplify

= - e^{- x}

(- 1, - 2), (3, 2)

ln (x + p)

\frac{d}{d y} (- 4 y)

sec (x) d y + csc (y) d x = 0

\frac{\partial}{\partial x} (ln (x^{4} + y))

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