What is xe^{-x} derivative of dx ?

The solution to xe^{-x} derivative of dx is (x derivative of dx)/(e^x)

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simplify xe^{-x} derivative of dx

simplify

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

\frac{x \frac{d}{d x} ( d x )}{e ^{x}}

Solution steps

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

Apply exponent rule:

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

= \frac{1}{e ^{x}} x \frac{d}{d x} (d x)

Multiply fractions:

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

= \frac{1 \cdot x \frac{d}{d x} ( d x )}{e ^{x}}

Multiply:

1 \cdot x = x

= \frac{x \frac{d}{d x} ( d x )}{e ^{x}}

(5 a + 10 b)^{2} (5 a - 10 b)^{2}

e^{- 683}

4 \cdot 1 0^{- 5} \cdot \frac{0.09499}{0.00 5 ^{2}}

(- \frac{20 e ^{- 3 t}}{3}) \cdot (e^{- 5 t})

1.71 x 1 0^{(- 4)}

What is xe^{-x} derivative of dx ?
The solution to xe^{-x} derivative of dx is (x derivative of dx)/(e^x)