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Popular Calculus >

simplify-8e^{-4x^2}x

Solution

simplify

- 8 e^{- 4 x^{2}} x

Solution

- \frac{8 x}{e ^{4 x^{2}}}

Solution steps

- 8 e^{- 4 x^{2}} x

Apply exponent rule:

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

= - 8 \cdot \frac{1}{e ^{4 x^{2}}} x

Multiply fractions:

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

= - \frac{1 \cdot 8 x}{e ^{4 x^{2}}}

Multiply the numbers:

1 \cdot 8 = 8

= - \frac{8 x}{e ^{4 x^{2}}}

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Frequently Asked Questions (FAQ)

What is simplify-8e^{-4x^2}x ?
The solution to simplify-8e^{-4x^2}x is -(8x)/(e^{4x^2)}