What is the derivative of c_{1}e^{-x}+c_{2}xe^{-x} ?

The derivative of c_{1}e^{-x}+c_{2}xe^{-x} is -c_{1}e^{-x}+c_{2}(e^{-x}-e^{-x}x)

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

The first derivative of c_{1}e^{-x}+c_{2}xe^{-x} is -c_{1}e^{-x}+c_{2}(e^{-x}-e^{-x}x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} (c_{1} e^{- x} + c_{2} x e^{- x})

- c_{1} e^{- x} + c_{2} (e^{- x} - e^{- x} x)

Solution steps

\frac{d}{d x} (c_{1} e^{- x} + c_{2} x e^{- x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (c_{1} e^{- x}) + \frac{d}{d x} (c_{2} x e^{- x})

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

\frac{d}{d x} (c_{2} x e^{- x}) = c_{2} (e^{- x} - e^{- x} x)

= - c_{1} e^{- x} + c_{2} (e^{- x} - e^{- x} x)

\int cot (d) x d x

\int 5^{u} d u

\int ln (x^{2} + 2) d x

\int 17 sin^{2} (x co) s^{2} x d x

\int sin^{2} (3 t) d t

What is the derivative of c_{1}e^{-x}+c_{2}xe^{-x} ?
The derivative of c_{1}e^{-x}+c_{2}xe^{-x} is -c_{1}e^{-x}+c_{2}(e^{-x}-e^{-x}x)
What is the first derivative of c_{1}e^{-x}+c_{2}xe^{-x} ?
The first derivative of c_{1}e^{-x}+c_{2}xe^{-x} is -c_{1}e^{-x}+c_{2}(e^{-x}-e^{-x}x)