What is (\partial)/(\partial y)(ysin(z)) ?

The answer to (\partial)/(\partial y)(ysin(z)) is sin(z)

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(\partial)/(\partial y)(ysin(z))

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

sin (z)

Solution steps

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

Treat

z

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= sin (z) \cdot 1

Simplify

= sin (z)

What is (\partial)/(\partial y)(ysin(z)) ?
The answer to (\partial)/(\partial y)(ysin(z)) is sin(z)