What is (\partial)/(\partial u)(u*sin(v)) ?

The answer to (\partial)/(\partial u)(u*sin(v)) is sin(v)

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(\partial)/(\partial u)(u*sin(v))

\frac{\partial}{\partial u} (u \cdot sin (v))

sin (v)

Solution steps

\frac{\partial}{\partial u} (u sin (v))

Treat

v

as a constant

Take the constant out:

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

= sin (v) \frac{\partial}{\partial u} (u)

Apply the common derivative:

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

= sin (v) \cdot 1

Simplify

= sin (v)

What is (\partial)/(\partial u)(u*sin(v)) ?
The answer to (\partial)/(\partial u)(u*sin(v)) is sin(v)