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

The derivative of e^{-x}-e^{-x}x is e^{-x}x-2e^{-x}

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

The first derivative of e^{-x}-e^{-x}x is e^{-x}x-2e^{-x}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

e^{- x} - e^{- x} x

e^{- x} x - 2 e^{- x}

Solution steps

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

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

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

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

Simplify

= e^{- x} x - 2 e^{- x}

\frac{d}{d x} (e^{x - 4})

\frac{d y}{d x} = (1 + y^{2}) tan (x), y (0) = 1

x \to 1 lim (2 x)

f (x) = x^{2} - 2 x, (5, 9)

x \to 0 lim (\frac{1 + x - 1}{x})

What is the derivative of e^{-x}-e^{-x}x ?
The derivative of e^{-x}-e^{-x}x is e^{-x}x-2e^{-x}
What is the first derivative of e^{-x}-e^{-x}x ?
The first derivative of e^{-x}-e^{-x}x is e^{-x}x-2e^{-x}