What is the derivative of 19xe^{-x} ?

The derivative of 19xe^{-x} is 19(e^{-x}-e^{-x}x)

What is the first derivative of 19xe^{-x} ?

The first derivative of 19xe^{-x} is 19(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 >

derivative of

19 x e^{- x}

19 (e^{- x} - e^{- x} x)

Solution steps

\frac{d}{d x} (19 x e^{- x})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 19 \frac{d}{d x} (x e^{- x})

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x, g = e^{- x}

= 19 (\frac{d x}{d x} e^{- x} + \frac{d}{d x} (e^{- x}) x)

\frac{d x}{d x} = 1

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

= 19 (1 \cdot e^{- x} + (- e^{- x}) x)

Simplify

= 19 (e^{- x} - e^{- x} x)

\frac{t d y}{d t} - 3 y = t

\frac{\partial}{\partial z} (z e^{x yz})

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

x^{- \frac{4}{5}}

\frac{3}{x}

What is the derivative of 19xe^{-x} ?
The derivative of 19xe^{-x} is 19(e^{-x}-e^{-x}x)
What is the first derivative of 19xe^{-x} ?
The first derivative of 19xe^{-x} is 19(e^{-x}-e^{-x}x)