Calculate the following derivative. You may leave your answer unsimplified.
f ′ ( θ ) {\displaystyle \displaystyle f'(\theta )} , where f ( θ ) {\displaystyle f(\theta )} is the area of the triangle with vertices at the origin, P {\displaystyle P} and Q {\displaystyle Q} , shown below. Note that the circle is of radius 1 {\displaystyle 1} .