(\partial)/(\partial y)(8ze^{xyz})

解答

\frac{\partial}{\partial y} (8 z e^{x yz})

8 e^{z x y} z^{2} x

求解步骤

\frac{\partial}{\partial y} (8 z e^{x yz})

将

z, x

视为常数

将常数提出:

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

= 8 z \frac{\partial}{\partial y} (e^{x yz})

使用连锁律:

e^{x yz} \frac{\partial}{\partial y} (x yz)

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

\frac{\partial}{\partial y} (x yz) = z x

= 8 z e^{x yz} z x

化简

8 z e^{x yz} z x : 8 e^{z x y} z^{2} x

= 8 e^{z x y} z^{2} x

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