Having trouble with the follow problem.

[icesalmon]

Homework Statement

differentiate: y = [-sqrt((x^2)+1]/(x) + ln(x+sqrt((x^2)+1)

Homework Equations

Chain rule, Power Rule, Derivative of a Logarithm.

The Attempt at a Solution

I've tried this a couple times, and the expression gets pretty large when I expand both terms. After I differentiate, my expression is [-1((1/2)[(x^2)+1]^-1/2 * 2x * 2x^2 - 4x[-sqrt(x^2+1)]/4x^4] +[(1/x+sqrt(x^2+1)*((1+1/2(x^2+1)^-1/2)*2x]
My apologies for the lack of clarity on either of these expressions, my LaTeX is non-existnt and grouping this without it is pretty awful. Thanks a lot in advance for anybody's help and patience.

 

[mpaige1]

plug your equation into here:
http://www.wolframalpha.com/

then click on expand solution and it will show you exactly how to do it. Enjoy :-)