What is sqrt(2)x^2e^{-sqrt(2x)} ?

The solution to sqrt(2)x^2e^{-sqrt(2x)} is (sqrt(2)x^2)/(e^{sqrt(2)\sqrt{x)}}

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

simplify

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

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

Solution steps

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

Apply exponent rule:

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

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

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

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

Multiply fractions:

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

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

Multiply:

1 \cdot 2 = 2

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

8.54 \cdot 1 0^{- 3}

\frac{d}{d y} ((x) (x e^{- k y}))

3_{2} \cdot 3_{2}

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