What is (\partial)/(\partial y)(xsin(y)) ?

The answer to (\partial)/(\partial y)(xsin(y)) is xcos(y)

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(\partial)/(\partial y)(xsin(y))

\frac{\partial}{\partial y} (x sin (y))

x cos (y)

Solution steps

\frac{\partial}{\partial y} (x sin (y))

Treat

x

as a constant

Take the constant out:

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

= x \frac{\partial}{\partial y} (sin (y))

Apply the common derivative:

\frac{\partial}{\partial y} (sin (y)) = cos (y)

= x cos (y)

What is (\partial)/(\partial y)(xsin(y)) ?
The answer to (\partial)/(\partial y)(xsin(y)) is xcos(y)