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 -sin(x)/cos(x) which can be simplified into -tan(x) i

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