Excuse the triple posting but, i found something stating that
the derivative of a absolute value is u/|u| *du/dx if i can assume that then my answer would be simple
This is possible because the derivative of ln states that du/dx = u'/u
so then i would simply just cancel the denomerators of both fractions. and my answer would be the numerator's Numerator.
the absolute value appears because the principal branch of the natural logarithm is chosen so as to restrict the domain of the function to positive reals. There is no such thing as a formula for taking the derivative of an "absolute value." First of all, the absolute value, of say , does not have a proper limit...thus no derivative...but anyway, the bottom line is that with the substitutions i show above, this should be a piece of cake, assuming you've learned the chain rule. I really don't see what's hanging you up.