(\partial)/(\partial x)(e^{xyz})

解答

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

e^{x yz} yz

求解步骤

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

将

y, z

视为常数

使用连锁律:

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

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

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

= e^{x yz} yz