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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

- e^{- x}

Solution steps

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

Apply the chain rule:

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

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

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

= e^{- x} (- 1)

Simplify

= - e^{- x}

\int_{0}^{\frac{π}{8}} sin (2 x) d x

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

\int_{1}^{3} 7 r^{3} ln (r) d r

\frac{4}{2 ( s - 3 ) ^{2} - 50}

f (x) = (x^{3} - 4 x + 1) e^{x}, at x = 0

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