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}

12.6 \cdot 1 0^{- 4}

- e^{- \frac{1.5}{5}}

e^{- \frac{1}{3} l n (1 - 3 y)}

π \cdot (0.6) \cdot (1.8 \cdot 1 0^{- 4})

\frac{( y + 6 ) ^{2}}{( n + 7 ) ^{2}}