Differentiate ln( cose^2x) Solution First note the derivative of ln(x)=1/x. So you know the derivative of ln(cos(2x)) is 1/cos(2x) but then you must use the chain rule and take the derivative of cos(2x), and then use it again to take the derivative of 2x. So, the final answer is (-2sin(2x))/(cos(2x)) which is equal to - 2(tan(2x))..

1. Differentiate
ln( cose^2x)
Solution
First note the derivative of ln(x)=1/x. So you know the derivative of ln(cos(2x)) is
1/cos(2x) but then you must use the chain rule and take the derivative of cos(2x), and then use it
again to take the derivative of 2x. So, the final answer is (-2sin(2x))/(cos(2x)) which is equal to -
2(tan(2x)).