The derivative of (1 + (x^2 + 1)^1/2)^1/2

I'm not really sure how to start this problem out... I see that the chain rule applies.... Would (1 + (x^2 + 1)^1/2) be considered g(x)? Can you show me the steps, please?

Here are the possible answers:

A) 1/4(1 + sq rt(x^2 + 1))^-1/2(x^2 + 1)^-1/2

B) 1/2(1 + sq rt(x^2 + 1))^-1/2(x/sq rt(x^2 + 1))

C) 1/2(1 + sq rt(x^2 + 1))

D) 1/2(1 + sq rt(x^2 + 1))^-1/2(2x)