# Homework Help: If y=logε

1. May 20, 2010

### BonBon101

1. The problem statement, all variables and given/known data
if y=logε((1 + √x)(/1- √x )) , show than

dy/dx = (1/(√x(1-x))

3. The attempt at a solution

y=logε((1 + √x)(/1- √x ))

y=logε(1+√x)-logε(1-√x)

dy/dx = 1-1/(1+√x) + 1/(1-√x)

i dont no what to do after this or if im even going in the right direction!?

2. May 20, 2010

### annoymage

how you differentiate y=loge(1+$$\sqrt{x}$$) ?

3. May 20, 2010

### cristo

Staff Emeritus
anonymage posted a question, as one would do if tutoring a student face to face. He wasn't saying that you can't differentiate a logarithm, but asking the OP if he knew how to differentiate a logarithm. That is the point of the homework forums here: to help guide a student to the solution to a problem.