What is (\partial)/(\partial x)(xycos(5yz)) ?

The answer to (\partial)/(\partial x)(xycos(5yz)) is ycos(5yz)

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(\partial)/(\partial x)(xycos(5yz))

\frac{\partial}{\partial x} (x y cos (5 yz))

y cos (5 yz)

Solution steps

\frac{\partial}{\partial x} (x y cos (5 yz))

Treat

y, z

as constants

Take the constant out:

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

= y cos (5 yz) \frac{\partial}{\partial x} (x)

Apply the common derivative:

\frac{\partial}{\partial x} (x) = 1

= y cos (5 yz) \cdot 1

Simplify

= y cos (5 yz)

What is (\partial)/(\partial x)(xycos(5yz)) ?
The answer to (\partial)/(\partial x)(xycos(5yz)) is ycos(5yz)