3. Trigonometric and Polar Functions

Rates Of Change In Polar Functions — Quiz

Test your understanding of rates of change in polar functions with 5 practice questions.

Practice Questions

Question 1

In polar coordinates, what does the rate of change of $r$ with respect to $\theta$ describe?

Question 2

For the polar function $r=2\theta$, what is the rate of change $\frac{dr}{d\theta}$?

Question 3

If a polar graph has $\frac{dr}{d\theta}>0$ on an interval, what does that mean about $r$ on that interval?

Question 4

Which polar function has a constant rate of change of $\frac{dr}{d\theta}=0$?

Question 5

For $r=\sin\theta$, what is $\frac{dr}{d\theta}$?