derivative e^{-3x^2}

解答

导数

e^{- 3 x^{2}}

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

求解步骤

\frac{d}{d x} (e^{- 3 x^{2}})

使用连锁律:

e^{- 3 x^{2}} \frac{d}{d x} (- 3 x^{2})

= e^{- 3 x^{2}} \frac{d}{d x} (- 3 x^{2})

\frac{d}{d x} (- 3 x^{2}) = - 6 x

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

化简

= - 6 e^{- 3 x^{2}} x

in v erse l a pl a ce \frac{- s}{7 s ^{2} + 26 s + 25}

\frac{d}{d x} (7 x + 3)

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