What is (\partial ^2)/(\partial r\partial θ)(r(θ)θ) ?

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

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(\partial ^2)/(\partial r\partial θ)(r(θ)θ)

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

2 θ

Solution steps

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

Simplify

r (θ) θ : r θ^{2}

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

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

= \frac{\partial}{\partial θ} (θ^{2})

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

= 2 θ

\frac{d}{d x} ((x + 1) e^{x})

\int x^{11} sin (x^{12}) d x

x + 4 ln (x + 10) - ln (2 x + 1)

\frac{2}{( 3 s + 1 )}

\int_{- 2}^{2} \frac{e ^{x}}{e ^{x} - 1} d x

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