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Popular >

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

Solution

simplify

(1 + x) e^{- x}

Solution

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

Solution steps

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

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

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

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6.03 \cdot 1 0^{- 4}

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6.8 \cdot 1 0^{- 3}

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\frac{3 ^{x}}{4 ^{x}}

Frequently Asked Questions (FAQ)

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