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

The answer to (\partial)/(\partial v)(u*cos(v)) is -usin(v)

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

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

- u sin (v)

Solution steps

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

Treat

u

as a constant

Take the constant out:

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

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

Apply the common derivative:

\frac{\partial}{\partial v} (cos (v)) = - sin (v)

= u (- sin (v))

Simplify

= - u sin (v)

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What is (\partial)/(\partial v)(u*cos(v)) ?
The answer to (\partial)/(\partial v)(u*cos(v)) is -usin(v)