simplify (-x)e^{-x}

Solution

simplify

(- x) e^{- x}

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

Solution steps

(- x) e^{- x}

Apply exponent rule:

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

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

Remove parentheses:

(- a) = - a

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

Multiply fractions:

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

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

Multiply:

1 \cdot x = x

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

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