(\partial}{\partial v}(\frac{v^2)/u)

解答

\frac{\partial}{\partial v} (\frac{v ^{2}}{u})

\frac{2 v}{u}

求解步骤

\frac{\partial}{\partial v} (\frac{v ^{2}}{u})

将

u

视为常数

将常数提出:

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

= \frac{1}{u} \frac{\partial}{\partial v} (v^{2})

使用幂法则:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= \frac{1}{u} \cdot 2 v^{2 - 1}

化简

\frac{1}{u} \cdot 2 v^{2 - 1} : \frac{2 v}{u}

= \frac{2 v}{u}

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

x \to 1 lim (1 + x^{2})

\frac{d}{d x} (100)

x \to 6 lim (\frac{\frac{6}{x} - 1}{x - 6})

\frac{d}{d x} (\frac{x}{π})