(\partial)/(\partial x)(xcos(y)+ye^x)

解答

\frac{\partial}{\partial x} (x cos (y) + y e^{x})

cos (y) + y e^{x}

求解步骤

\frac{\partial}{\partial x} (x cos (y) + y e^{x})

将

y

视为常数

使用微分加减法定则:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{\partial}{\partial x} (x cos (y)) + \frac{\partial}{\partial x} (y e^{x})

\frac{\partial}{\partial x} (x cos (y)) = cos (y)

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

= cos (y) + y e^{x}

d er i v a t i v e e^{\frac{2}{3}}

\int_{- \frac{π}{4}}^{\frac{π}{4}} 1

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

\int_{1}^{e^{3}} x^{2} ln (x) d x

x \to 5 lim (123)