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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

(\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

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