What is (d^2)/(d{r)(θ)dθ}({r}(θ)sin(θ)) ?

The answer to (d^2)/(d{r)(θ)dθ}({r}(θ)sin(θ)) is -sin(θ)

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(d^2)/(d{r)(θ)dθ}({r}(θ)sin(θ))

\frac{d ^{3}}{d r ( θ ) d θ ^{2}} (r (θ) sin (θ))

- sin (θ)

Solution steps

\frac{d ^{3}}{d r ( θ ) d θ ^{2}} (r (θ) sin (θ))

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

= \frac{d ^{2}}{d θ ^{2}} (sin (θ))

\frac{d}{d θ} (sin (θ)) = cos (θ)

= \frac{d}{d θ} (cos (θ))

\frac{d}{d θ} (cos (θ)) = - sin (θ)

= - sin (θ)

What is (d^2)/(d{r)(θ)dθ}({r}(θ)sin(θ)) ?
The answer to (d^2)/(d{r)(θ)dθ}({r}(θ)sin(θ)) is -sin(θ)