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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

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 sqrt(8)^{1/3}simplify

8^{\frac{1}{3}}

simplify (sqrt(-33))/(sqrt(3))simplify

\frac{- 33}{3}

simplify 9.9*10^{-3}simplify

9.9 \cdot 1 0^{- 3}

simplify (5.45*10^{14})(6.626*10^{-34})simplify

(5.45 \cdot 1 0^{14}) (6.626 \cdot 1 0^{- 34})

simplify e^{-2.125}*e^{2.216*250}simplify

e^{- 2.125} \cdot e^{2.216 \cdot 250}

Frequently Asked Questions (FAQ)

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