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

The derivative of e^{-x+1}-e^{-x+1}*x is e^{-x+1}x-2e^{-x+1}

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

The first derivative of e^{-x+1}-e^{-x+1}*x is e^{-x+1}x-2e^{-x+1}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

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

e^{- x + 1} x - 2 e^{- x + 1}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= - e^{- x + 1} - (- e^{- x + 1} x + e^{- x + 1})

Simplify

= e^{- x + 1} x - 2 e^{- x + 1}

\frac{\partial}{\partial x} (y \cdot cos (x - y))

7 x - 4 x^{2}

y^{^{'}} = y (4 - t y)

What is the derivative of e^{-x+1}-e^{-x+1}*x ?
The derivative of e^{-x+1}-e^{-x+1}*x is e^{-x+1}x-2e^{-x+1}
What is the first derivative of e^{-x+1}-e^{-x+1}*x ?
The first derivative of e^{-x+1}-e^{-x+1}*x is e^{-x+1}x-2e^{-x+1}