What is (\partial)/(\partial z)(cos(xz)) ?

The answer to (\partial)/(\partial z)(cos(xz)) is -sin(xz)x

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(\partial)/(\partial z)(cos(xz))

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

- sin (x z) x

Solution steps

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

Treat

x

as a constant

Apply the chain rule:

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

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

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

= - sin (x z) x

What is (\partial)/(\partial z)(cos(xz)) ?
The answer to (\partial)/(\partial z)(cos(xz)) is -sin(xz)x