Find the derivative of the following polar function. Use "theta" for the symbol \theta. You do not need to simplify.

Question

Find the derivative of the following polar function. Use "theta" for the symbol . You do not need to simplify. 

Answer 1

You would use the chain rule to derive the function. You would first use the cos derivative to get the -sin(3theta) portion. Then you would derive 3theta to get 3. The final answer would multiply these steps to get -3sin(3theta). Symbolab can provide a better visual. derivative of cos(3x) (symbolab.com)

r=cos(3theta)

dr/dtheta=-3sin(3theta)