(\partial)/(\partial x)((u)(ln(x)+ln(y)))

解答

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

\frac{u}{x}

求解步骤

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

化简

(u) (ln (x) + ln (y)) : u ln (x y)

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

将

u, y

视为常数

将常数提出:

(a \cdot f)^{'} = a \cdot f^{'}

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

使用连锁律:

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

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

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

= u \frac{1}{x y} y

化简

u \frac{1}{x y} y : \frac{u}{x}

= \frac{u}{x}

j o in \frac{1}{3} ln (\frac{7}{6} + \frac{5}{2})

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