(\partial)/(\partial x)(e^{-x^3-y^6})

解答

\frac{\partial}{\partial x} (e^{- x^{3} - y^{6}})

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

求解步骤

\frac{\partial}{\partial x} (e^{- x^{3} - y^{6}})

将

y

视为常数

使用连锁律:

e^{- x^{3} - y^{6}} \frac{\partial}{\partial x} (- x^{3} - y^{6})

= e^{- x^{3} - y^{6}} \frac{\partial}{\partial x} (- x^{3} - y^{6})

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

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

化简

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

\frac{d}{d x} (- x^{2} + y^{2} - 10)

\int sin^{3} (x) cos (y) d x

\int \frac{1}{1 + u} d u

d er i v a t i v e y = x ln (x) cos (x)

\int \frac{3 x ^{3} + 5 x}{x ^{2} - x - 2} d x