# Find the derivative of the function?

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#y=ln tan^2 3x#

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Mar 8, 2018

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We to find the derivative of

#y=ln(tan^2(3x))=2ln(tan(3x))#

Use the chain rule, if

#dy/dx=dy/(du)(du)/dx#

Let

and

Thus

#dy/dx=6/usec^2(3x)=6/tan(3x)sec^2(3x)=6csc(3x)sec(3x)#

Or by applying the identity

#dy/dx=12csc(6x)#

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