derivative of e^{-x^2-y^2}

解答

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

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

求解步骤

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

使用连锁律:

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

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

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

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

\int arccsc (x) d x

\frac{\partial}{\partial x} (7 x y^{4} + 2)

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