What is the derivative of (1-xe^x) ?

The derivative of (1-xe^x) is -e^xx

What is the first derivative of (1-xe^x) ?

The first derivative of (1-xe^x) is -e^xx

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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

- e^{x} x

Solution steps

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

Apply the Product Rule:

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

f = 1 - x, g = e^{x}

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

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

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

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

Simplify

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

= - e^{x} x

a re a 2 y = 3 x, 2 y + 3 x = 6, y = 4

\int_{\frac{π}{2}}^{π} cos (x) d x

\int \frac{1}{e ^{x} + 4 e ^{- x}} d x

\int_{1}^{3} 2 π x (- x^{2} + 4 x - 3) d x

d er i v a t i v e y = x^{\frac{3}{2}} (x + c e^{x})

What is the derivative of (1-xe^x) ?
The derivative of (1-xe^x) is -e^xx
What is the first derivative of (1-xe^x) ?
The first derivative of (1-xe^x) is -e^xx