en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

simplify

e^{- x} (1 + x)

Solution

\frac{x + 1}{e ^{x}}

Solution steps

e^{- x} (1 + x)

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

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

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

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

1 \cdot (1 + x) = 1 + x

= \frac{1 + x}{e ^{x}}

Popular Examples

simplify 8.86x10^{-9}simplify

8.86 x 1 0^{- 9}

simplify (sqrt(x-5))/(sqrt(x))simplify

\frac{x - 5}{x}

simplify sqrt(x^w)sqrt(y^w)simplify

x^{w} y^{w}

simplify e^t*e^{-5}simplify

e^{t} \cdot e^{- 5}

simplify (n+2)\sqrt[3]{x^{n-3}}simplify

Frequently Asked Questions (FAQ)

What is e^{-x}(1+x) ?
The solution to e^{-x}(1+x) is (x+1)/(e^x)