differentiating

geffman1

1. The problem statement, all variables and given/known data

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

2. Relevant equations

answer is x/(1+x^2)

3. The attempt at a solution

Mark44

Power rule and chain rule.

Cyosis

To get the answer you have listed your function must be [itex]\ln \sqrt{1+x^2}[/itex] and not [itex]\sqrt{\ln(1+x^2)}[/itex]. You can write [itex]\ln \sqrt{1+x^2}=\frac{1}{2}\ln (1+x^2)[/itex], 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

Go check your rules of differentiation again....