(\partial)/(\partial x)(xz-e^xsin(y))

解答

\frac{\partial}{\partial x} (x z - e^{x} sin (y))

z - sin (y) e^{x}

求解步骤

\frac{\partial}{\partial x} (x z - e^{x} sin (y))

将

z, 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 z) - \frac{\partial}{\partial x} (e^{x} sin (y))

\frac{\partial}{\partial x} (x z) = z

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

= z - sin (y) e^{x}

x \to - 2 lim (\frac{5 x ^{2} + 6}{x})

(\frac{1}{( 1 - x ) ^{2}})^{^{'}}

a re a y = \frac{1}{4 x ^{2}}, y = x, y = \frac{x}{10}

\frac{d}{d x} (\frac{x - 1}{x ^{2} + 4})

x^{2} \frac{d y}{d x} = x y + 3 y^{2}