What is (\partial)/(\partial θ)(xcos(θ)) ?

The answer to (\partial)/(\partial θ)(xcos(θ)) is -xsin(θ)

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(\partial)/(\partial θ)(xcos(θ))

\frac{\partial}{\partial θ} (x cos (θ))

- x sin (θ)

Solution steps

\frac{\partial}{\partial θ} (x cos (θ))

Treat

x

as a constant

Take the constant out:

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

= x \frac{\partial}{\partial θ} (cos (θ))

Apply the common derivative:

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

= x (- sin (θ))

Simplify

= - x sin (θ)

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