(\partial)/(\partial y)(cos(x+y+z))

解答

\frac{\partial}{\partial y} (cos (x + y + z))

- sin (x + y + z)

求解步骤

\frac{\partial}{\partial y} (cos (x + y + z))

将

x, z

视为常数

使用连锁律:

- sin (x + y + z) \frac{\partial}{\partial y} (x + y + z)

= - sin (x + y + z) \frac{\partial}{\partial y} (x + y + z)

\frac{\partial}{\partial y} (x + y + z) = 1

= - sin (x + y + z) \cdot 1

化简

= - sin (x + y + z)

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