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Popular >

simplify (-x+1)e^{-x}

Solution

simplify

(- x + 1) e^{- x}

Solution

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

Solution steps

(- x + 1) e^{- x}

Apply exponent rule:

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

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

Multiply fractions:

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

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

1 \cdot (- x + 1) = - x + 1

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

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Frequently Asked Questions (FAQ)

What is (-x+1)e^{-x} ?
The solution to (-x+1)e^{-x} is (-x+1)/(e^x)