Describe how f (x) = 2 cos (πx) and g (x) = 2 cos (2πx) are related.

The derivative of the natural log is 1/x, therefore the derivative is 1/cos (x). However, since the value of cos (x) is submitted within the natural log we must use the chain rule. Then, we multiply 1/cos (x) by the derivative of cos (x). We get the answer: - sin (x) / cos (x) which can be simplified into - tan (x) i