(\partial}{\partial x}(\frac{2x-y)/2)

解答

\frac{\partial}{\partial x} (\frac{2 x - y}{2})

1

求解步骤

\frac{\partial}{\partial x} (\frac{2 x - y}{2})

将

y

视为常数

将常数提出:

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

= \frac{1}{2} \frac{\partial}{\partial x} (2 x - y)

使用微分加减法定则:

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

= \frac{1}{2} (\frac{\partial}{\partial x} (2 x) - \frac{\partial}{\partial x} (y))

\frac{\partial}{\partial x} (2 x) = 2

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

= \frac{1}{2} (2 - 0)

化简

\frac{1}{2} (2 - 0) : 1

= 1

x^{^{''}} + (x^{^{'}})^{2} = 0

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