Question

How do I find the derivative of the rational function y=x/(√1+x^2)

Answer 1

use the quotient rule

Answer 2

I know how to use the quotient rule. I just dont know how to simplify it

Answer 3

ok what have u got so far?

Answer 4

((√1+x^2) - (x/(2√1+x^2)))/(1+x^2)

Answer 5

I simplified the bottom from (√1+x^2)^2 to just 1+x^2. was I right to do that? It makes sense but does it just complicate the problem?

Answer 6

yes
the denominator = 1 + x^2

Answer 7

the way you've written is confusing though
i think the denominator should be written √(1 + x^2)