# Math Help - stuck on a f'(x) problem

1. ## stuck on a f'(x) problem

f(x)= x over root x^2+1 (all of its in a root)

I can get this far (x^2+1)^1/2(1) - (x)(1/2)(x^2+1)^-1/2(2x) all over (x+1)^1/4

this breaks down to (now i'm not sure if this is right) (x^2+1)^1/2-x^2 over (x+1)^1/4(x^2+1)^1/2

am i even on the right track?

2. using product or quotient rule will do the trick . in product rule , just assume x as first fn , and 1/root(x^2+1) as second fn and differentiate

3. Originally Posted by lblue54
f(x)= x over root x^2+1 (all of its in a root)

I can get this far (x^2+1)^1/2(1) - (x)(1/2)(x^2+1)^-1/2(2x) all over (x+1)^1/4
Where did you get (x+1)^(1/4)? Using the quotient rule, the denominator is squared. ((x+1)^(1/2))^2= x+ 1, not (x+1)^(1/4).

this breaks down to (now i'm not sure if this is right) (x^2+1)^1/2-x^2 over (x+1)^1/4(x^2+1)^1/2

am i even on the right track?