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Popular >

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

Solution

simplify

e^{- x} x + 1

Solution

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

Solution steps

e^{- x} x + 1

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}}

Multiply:

1 \cdot x + 1 = x + 1

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

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Frequently Asked Questions (FAQ)

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