(\partial)/(\partial x)(x/y-y/z)

解答

\frac{\partial}{\partial x} (\frac{x}{y} - \frac{y}{z})

\frac{1}{y}

求解步骤

\frac{\partial}{\partial x} (\frac{x}{y} - \frac{y}{z})

将

y, z

视为常数

使用微分加减法定则:

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

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

\frac{\partial}{\partial x} (\frac{x}{y}) = \frac{1}{y}

\frac{\partial}{\partial x} (\frac{y}{z}) = 0

= \frac{1}{y} - 0

化简

= \frac{1}{y}

\frac{d}{d x} (81 sin (3 x))

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

\frac{d y}{d t} + \frac{23 y}{t} = \frac{1}{t}

a re a 1390 - 34 x, 88 x, [11.3934400000000 \dots, 12.3934400000000 \dots]

\frac{\partial}{\partial x} (x y^{2} e^{y})