Find the derivative of y with respect to x.

y= (lnx)/(3+4lnx)

Should I start by using the quotient rule?

3 answers

You could, or...

y= (lnx)*1/(2+lnx)

y'= 1/x * 1/(2+lnx) - ln(x)/(2+lnx)^2 * 1/x
http://www.wolframalpha.com/widgets/view.jsp?id=bf1b2f4b901c21a1d8645018ea9aeb05

put

(lnx)/(3+4lnx)

in as your function
click on differentiate
click on "show steps"
Derivative:

Show steps

3/(x (4 log(x)+3)^2)