What is simplify-6x(2e^{-3x^2}) ?

The solution to simplify-6x(2e^{-3x^2}) is -(12x)/(e^{3x^2)}

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simplify-6x(2e^{-3x^2})

simplify

- 6 x (2 e^{- 3 x^{2}})

- \frac{12 x}{e ^{3 x^{2}}}

Solution steps

- 6 x (2 e^{- 3 x^{2}})

Apply exponent rule:

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

= - 6 \cdot 2 \cdot \frac{1}{e ^{3 x^{2}}} x

Multiply fractions:

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

= - \frac{1 \cdot 6 x \cdot 2}{e ^{3 x^{2}}}

Multiply the numbers:

1 \cdot 6 \cdot 2 = 12

= - \frac{12 x}{e ^{3 x^{2}}}

f (t) = - 6 e^{- 2 t} \cdot (12 e^{2 t} + 12 t e^{2 t})

f (x) = x^{2} \cdot e^{- ∣ x ∣}

3.111 (52.45)^{- 0.581}

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

What is simplify-6x(2e^{-3x^2}) ?
The solution to simplify-6x(2e^{-3x^2}) is -(12x)/(e^{3x^2)}