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

The answer to (\partial)/(\partial θ)(r(θ)θ) is 2rθ

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(\partial)/(\partial θ)(r(θ)θ)

\frac{\partial}{\partial θ} (r (θ) θ)

2 r θ

Solution steps

\frac{\partial}{\partial θ} (r (θ) θ)

Simplify

r (θ) θ : r θ^{2}

= \frac{\partial}{\partial θ} (r θ^{2})

Treat

r

as a constant

Take the constant out:

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

= r \frac{\partial}{\partial θ} (θ^{2})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= r \cdot 2 θ^{2 - 1}

Simplify

= 2 r θ

x^{2}, - 1, 1, - 2 x^{4}

x ln (x)

\int \frac{1}{( x - 3 ) ( 2 x + 1 ) ( x ^{2} + x + 4 )} d x

(x + 5 x) (x^{\frac{3}{2}} - x)

- 2 x^{4} + 7 x e^{x}

What is (\partial)/(\partial θ)(r(θ)θ) ?
The answer to (\partial)/(\partial θ)(r(θ)θ) is 2rθ