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

The answer to (\partial)/(\partial θ)(rsin(θ)) is rcos(θ)

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(\partial)/(\partial θ)(rsin(θ))

\frac{\partial}{\partial θ} (r sin (θ))

r cos (θ)

Solution steps

\frac{\partial}{\partial θ} (r sin (θ))

Treat

r

as a constant

Take the constant out:

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

= r \frac{\partial}{\partial θ} (sin (θ))

Apply the common derivative:

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

= r cos (θ)

\int \frac{2}{x ^{3} + x ^{2} + x + 1} d x

\int 7 x^{3} e^{5 x} d x

(1 + x)^{2}

x (\frac{d y}{d x}) - y = x^{2}

n = 0 \sum \infty \frac{2 ^{n}}{5 ^{n}}

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