My answer is (-5sinx)(2lnx)+(5cosx)(1/x) I just did the product rule can you verify if this is correct please!
You don't have a product think of (2lnx) as the "angle" how about letting p = 2lnx then y = 5cos(p) and dy/dx = -5sin(p)dp/dx but dp/dx = 2/x so dy/dx = -5sin(p)(2/x) = -5sin(2lnx)(2/x) = (-10/x)(sin(2lnx))
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