en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify cos(x)*e^{-x^2}

Solution

simplify

cos (x) \cdot e^{- x^{2}}

Solution

\frac{cos ( x )}{e ^{x^{2}}}

Solution steps

cos (x) e^{- x^{2}}

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply:

1 \cdot cos (x) = cos (x)

= \frac{cos ( x )}{e ^{x^{2}}}

Popular Examples

simplify e^{-xcsc(x)}simplify

e^{- x c s c (x)}

simplify sqrt((x-5)^3)simplify

(x - 5)^{3}

simplify ((k+1)^{2000})/(k^{2000)}simplify

\frac{( k + 1 ) ^{2000}}{k ^{2000}}

simplify a^{1.6}\sqrt[5]{a^2}simplify

simplify (m^2-n^2m)22m^2n^2 simplify

(m^{2} - n^{2} m) 22 m^{2} n^{2}

Frequently Asked Questions (FAQ)

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