What is (\partial)/(\partial x)(e^{-rx}) ?

The answer to (\partial)/(\partial x)(e^{-rx}) is -e^{-rx}r

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(\partial)/(\partial x)(e^{-rx})

\frac{\partial}{\partial x} (e^{- r x})

- e^{- r x} r

Solution steps

\frac{\partial}{\partial x} (e^{- r x})

Treat

r

as a constant

Apply the chain rule:

e^{- r x} \frac{\partial}{\partial x} (- r x)

= e^{- r x} \frac{\partial}{\partial x} (- r x)

\frac{\partial}{\partial x} (- r x) = - r

= e^{- r x} (- r)

Simplify

= - e^{- r x} r

\frac{3}{x + 7}

\frac{d}{d x} (ln (ln (2 x + 2 y)))

\int 0.2 x^{2} + 1 d x

n = 1 \sum \infty \frac{8}{5 ^{n - 1}}

What is (\partial)/(\partial x)(e^{-rx}) ?
The answer to (\partial)/(\partial x)(e^{-rx}) is -e^{-rx}r