What is 1/x 2xe^{-x} ?

The solution to 1/x 2xe^{-x} is 2/(e^x)

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simplify 1/x 2xe^{-x}

simplify

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

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

Solution steps

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

Apply exponent rule:

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

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

Multiply fractions:

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

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

Cancel the common factor:

x

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

Multiply the numbers:

1 \cdot 1 \cdot 2 = 2

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

(3 \cdot 1 0^{- 4}) (0.08) (0.26)

(D - 1)^{2} (D^{2} + 1)^{2} y

\frac{d}{d x} (2 d (y (d, x) - x))

\frac{y}{x} (2 - 1)

(32 - x)^{2} \cdot (16 - 2 x)^{2}