What is e^{-x^2}\times (-2)x ?

The solution to e^{-x^2}\times (-2)x is -(2x)/(e^{x^2)}

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

simplify

e^{- x^{2}} \cdot (- 2) x

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

Solution steps

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

Apply exponent rule:

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

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

Remove parentheses:

(- a) = - a

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

Multiply fractions:

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

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

Multiply the numbers:

1 \cdot 2 = 2

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

e^{- 0.086 \cdot 12}

e^{s + t} e^{s - t}

1000 (1.03)^{- 4}

1000 (1.03)^{- 3}

1000 (1.03)^{- 2}

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