# What is the slope of the tangent line of #r=12sin(theta/3)*cos(theta/2)# at #theta=(3pi)/2#?

##### 1 Answer

#### Explanation:

First, we need to find the derivative of the equation with respect to

where we have already factored out the constant. Using the chain rule we get two terms:

Each of the derivatives in the square brackets can be completed as follows:

and

plugging these back in above

next, we plug in the value of #theta for which we want the slope and simplify