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Popular >

simplify 2e^{-x}(-x)

Solution

simplify

2 e^{- x} (- x)

Solution

- \frac{2 x}{e ^{x}}

Solution steps

2 e^{- x} (- x)

Apply exponent rule:

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

= 2 \cdot \frac{1}{e ^{x}} (- x)

Remove parentheses:

(- a) = - a

= - 2 \cdot \frac{1}{e ^{x}} x

Multiply fractions:

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

= - \frac{1 \cdot 2 x}{e ^{x}}

Multiply the numbers:

1 \cdot 2 = 2

= - \frac{2 x}{e ^{x}}

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Frequently Asked Questions (FAQ)

What is 2e^{-x}(-x) ?
The solution to 2e^{-x}(-x) is -(2x)/(e^x)