What is d/(d^2x)(e^{-x^2}) ?

The solution to d/(d^2x)(e^{-x^2}) is 1/(de^{x^2)x}

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

simplify

\frac{d}{d ^{2} x} (e^{- x^{2}})

\frac{1}{d e ^{x^{2}} x}

Solution steps

\frac{d}{d ^{2} x} (e^{- x^{2}})

Apply exponent rule:

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

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

\frac{d}{d ^{2} x} = \frac{1}{d x}

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

Multiply fractions:

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

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

Multiply the numbers:

1 \cdot 1 = 1

= \frac{1}{d e ^{x^{2}} x}

(\frac{0. 2 ^{5}}{5}) \cdot 4 π \cdot 9 \cdot π \cdot 1 0^{- 9} \cdot (\frac{π}{2} - \frac{1}{4})

2 π \cdot 5 0^{- 1}

f^{- 1} (- 5)

4 e^{- 8}

f^{- 1} (- 6)

What is d/(d^2x)(e^{-x^2}) ?
The solution to d/(d^2x)(e^{-x^2}) is 1/(de^{x^2)x}