en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

simplify

(1 - x) \cdot e^{- x}

Solution

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

Solution steps

(1 - x) e^{- 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 7*e^{-(jpi)/2}simplify

7 \cdot e^{- \frac{jπ}{2}}

simplify e^{-6}*((6^0)/(0!))simplify

e^{- 6} \cdot (\frac{6 ^{0}}{0 !})

simplify (e^{10x})/(e^{5x)}simplify

\frac{e ^{10 x}}{e ^{5 x}}

simplify 249e^{-0.1*3000}simplify

249 e^{- 0.1 \cdot 3000}

simplify tng^{-1}((-107.2)/(311.5))simplify

t n g^{- 1} (\frac{- 107.2}{311.5})

Frequently Asked Questions (FAQ)

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