What is e^{-x^2}*2xe^{-x^2} ?

The solution to e^{-x^2}*2xe^{-x^2} is 2e^{-2x^2}x

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simplify e^{-x^2}*2xe^{-x^2}

simplify

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

2 e^{- 2 x^{2}} x

Solution steps

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

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

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

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

Add similar elements:

- x^{2} - x^{2} = - 2 x^{2}

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

e^{- 0.666} \cdot 276

b^{8} (2 b^{7})

(3 x^{4}) (4 x^{3} + 4 x) (2 x)

x^{2 y} (x^{5} y)

- 7 - 252

What is e^{-x^2}*2xe^{-x^2} ?
The solution to e^{-x^2}*2xe^{-x^2} is 2e^{-2x^2}x