- #1
e_brock123
- 14
- 0
Homework Statement
I'm try to implicitly differentiate the function: xlny+√y=lnx
The Attempt at a Solution
And I got to the stage where I have: dy/dx = (1/x-lny)/(x/y+1/(2*√y)) which is where I have no idea on how to clean this up. Could someone please explain to me how to simplify a function like that?
Im not quite sure if I was heading to the right anwer but anyway the book provided the answer of
(2y-2xylny)/(2x^2+x√y).
Either way I would like to know how to simplify an equation like the one I have as I've come across it a few times.
Thanks for your help in advance.