Chapter 7.4, Problem 239E

For the following exercises, ?nd the slope of a tangent line to a polar curve $r=f\left(\theta \right)$ . Let $x=r\cos \theta =f\left(\theta \right)\cos \theta$ and $y=r\sin \theta =f\left(\theta \right)\sin \theta$ , so the polar equation $r=f\left(\theta \right)$ is now written in parametric form.

239. $r=4+\sin \theta ;\left(3,\frac{3\pi }{2}\right)$