How to differentiate y = ln( 1+x^2)^1/2

[geffman1]

Homework Statement

hey guys, got a question. how do you differentiate y=ln(1+x^2)^1/2. any help would be appreciated, thanks

Homework Equations

answer is x/(1+x^2)

The Attempt at a Solution

 

[Mark44]

Power rule and chain rule.

 

[Cyosis]

To get the answer you have listed your function must be $\ln \sqrt{1+x^2}$ and not $\sqrt{\ln(1+x^2)}$. You can write $\ln \sqrt{1+x^2}=\frac{1}{2}\ln (1+x^2)$, perhaps this form is less intimidating?

 

[geffman1]

so the 1/2 just stays out the front without it being differentiate, i thought it dissapeared? thanks for the replys

 

[Hurkyl]

so the 1/2 just stays out the front without it being differentiate, i thought it dissapeared? thanks for the replys

Go check your rules of differentiation again...