(\partial)/(\partial x)(1/y+xln(y))

解答

\frac{\partial}{\partial x} (\frac{1}{y} + x ln (y))

ln (y)

求解步骤

\frac{\partial}{\partial x} (\frac{1}{y} + x ln (y))

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} (\frac{1}{y}) + \frac{\partial}{\partial x} (x ln (y))

\frac{\partial}{\partial x} (\frac{1}{y}) = 0

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

= 0 + ln (y)

化简

= ln (y)

s l o p e (- 1, - 1), (4, - 4)

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