化简 d/(d^2x)e^{-x^2}

解答

化简

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

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

求解步骤

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

使用指数法则:

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}}}

分式相乘:

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

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

数字相乘:

1 \cdot 1 = 1

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

s im pl i f y \frac{( y + 6 ) ^{2}}{( n + 7 ) ^{2}}

e x p an d (2 a b^{2})^{3}

s im pl i f y 3 e^{- x} \cdot e^{- \frac{3}{4} x}

e x p an d (2 a b^{2})^{2}

s im pl i f y 0.9976 \cdot 1 0^{- 3}