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^2}

Solution

simplify

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

Solution

\frac{x + 1}{e ^{x^{2}}}

Solution steps

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

Apply exponent rule:

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

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

Multiply fractions:

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

= \frac{1 \cdot ( 1 + x )}{e ^{x^{2}}}

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

= \frac{1 + x}{e ^{x^{2}}}

Popular Examples

join 1/2 (log_{6}(k^9)-log_{6}(k^3))join

\frac{1}{2} (lo g_{6} (k^{9}) - lo g_{6} (k^{3}))

simplify (2sqrt(3))2 simplify

(23) 2

simplify-2^2e^{-2}simplify

- 2^{2} e^{- 2}

simplify 15e^{-x}simplify

15 e^{- x}

simplify t^2e^{-at}simplify

t^{2} e^{- a t}

Frequently Asked Questions (FAQ)

What is (1+x)e^{-x^2} ?
The solution to (1+x)e^{-x^2} is (x+1)/(e^{x^2)}