Some functions could be very complicated when we try to differentiate them, as they may be a mix of several product rule, quotient rule and chain rule problems strung together.  One way to simplify the problem is using the properties of logarithms.

Recall that for y = ln (ab) can be rewritten as y= lna + lnb and that y=ln(a/b) can be rewritten as y= lna - lnb

 

Assignment p170 #43-46, 48, 52, 53