(\partial)/(\partial x)((z)(xyz-e^z))

解答

\frac{\partial}{\partial x} ((z) (x yz - e^{z}))

z^{2} y

求解步骤

\frac{\partial}{\partial x} ((z) (x yz - e^{z}))

将

z, y

视为常数

将常数提出:

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

= z \frac{\partial}{\partial x} (x yz - e^{z})

使用微分加减法定则:

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

= z (\frac{\partial}{\partial x} (x yz) - \frac{\partial}{\partial x} (e^{z}))

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

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

= z (zy - 0)

化简

z (zy - 0) : z^{2} y

= z^{2} y

e x p an d A (2, 0) y B (0, - 6)

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