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

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

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

simplify

2 x e^{- x}

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

Solution steps

2 x e^{- x}

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply the numbers:

1 \cdot 2 = 2

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

(3 x - 4)^{2} (3 x^{3} - 6 x)^{2}

4.1 x 1 0^{- 5}

e^{t} cos (t) e^{t} sin (t)

(t + 1)^{2} (t - 1)^{2}