(\partial)/(\partial y)(3x-4y)

解答

\frac{\partial}{\partial y} (3 x - 4 y)

- 4

求解步骤

\frac{\partial}{\partial y} (3 x - 4 y)

将

x

视为常数

使用微分加减法定则:

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

= \frac{\partial}{\partial y} (3 x) - \frac{\partial}{\partial y} (4 y)

\frac{\partial}{\partial y} (3 x) = 0

\frac{\partial}{\partial y} (4 y) = 4

= 0 - 4

化简

= - 4

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\frac{\partial}{\partial x} (4 x^{2} y + 4 x y^{2})