(\partial)/(\partial x)((z)(yz-z^2+xny))

解答

\frac{\partial}{\partial x} ((z) (yz - z^{2} + x n y))

n zy

求解步骤

\frac{\partial}{\partial x} ((z) (yz - z^{2} + x n y))

将

n, z, y

视为常数

将常数提出:

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

= z \frac{\partial}{\partial x} (yz - z^{2} + x n y)

使用微分加减法定则:

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

= z (\frac{\partial}{\partial x} (yz) - \frac{\partial}{\partial x} (z^{2}) + \frac{\partial}{\partial x} (x n y))

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

\frac{\partial}{\partial x} (z^{2}) = 0

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

= z (0 - 0 + y n)

化简

= n zy

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e x p an d B (1, - 3)