en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify e^{-3x^2}cos(3x)

Solution

simplify

e^{- 3 x^{2}} cos (3 x)

Solution

\frac{cos ( 3 x )}{e ^{3 x^{2}}}

Solution steps

e^{- 3 x^{2}} cos (3 x)

Apply exponent rule:

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

= \frac{1}{e ^{3 x^{2}}} cos (3 x)

Multiply fractions:

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

= \frac{1 \cdot cos ( 3 x )}{e ^{3 x^{2}}}

Multiply:

1 \cdot cos (3 x) = cos (3 x)

= \frac{cos ( 3 x )}{e ^{3 x^{2}}}

Popular Examples

simplify (7.35*10^{10})(6.25*10^6)simplify

(7.35 \cdot 1 0^{10}) (6.25 \cdot 1 0^{6})

simplify (m+2)^2(m+1)^2 simplify

(m + 2)^{2} (m + 1)^{2}

simplify e^{-0.03*50}*100 simplify

e^{- 0.03 \cdot 50} \cdot 100

simplify (sqrt(y))^{3/2}simplify

(y)^{\frac{3}{2}}

simplify 8(2+x-x^2)e^{-2x}simplify

8 (2 + x - x^{2}) e^{- 2 x}

Frequently Asked Questions (FAQ)

What is e^{-3x^2}cos(3x) ?
The solution to e^{-3x^2}cos(3x) is (cos(3x))/(e^{3x^2)}