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

解答

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

3

求解步骤

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

将

y

视为常数

使用微分加减法定则:

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

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

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

\frac{\partial}{\partial x} (4 y) = 0

= 3 + 0

化简

= 3