(\partial)/(\partial x)(xsqrt(v-w))

解答

\frac{\partial}{\partial x} (x v - w)

v - w

求解步骤

\frac{\partial}{\partial x} (x v - w)

将

v, w

视为常数

将常数提出:

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

= v - w \frac{\partial}{\partial x} (x)

使用常见微分定则:

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

= v - w \cdot 1

化简

= v - w