What is (\partial)/(\partial o)(rcos(o)) ?

The answer to (\partial)/(\partial o)(rcos(o)) is -rsin(o)

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(\partial)/(\partial o)(rcos(o))

\frac{\partial}{\partial o} (r cos (o))

- r sin (o)

Solution steps

\frac{\partial}{\partial o} (r cos (o))

Treat

r

as a constant

Take the constant out:

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

= r \frac{\partial}{\partial o} (cos (o))

Apply the common derivative:

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

= r (- sin (o))

Simplify

= - r sin (o)

What is (\partial)/(\partial o)(rcos(o)) ?
The answer to (\partial)/(\partial o)(rcos(o)) is -rsin(o)