Question

Find the derivative: x/(x^2+1)^1/2. Would greatly appreciate any help as I'm getting stuck in working out the problem just before I get to the answer! Thank you!

Answer 1

\[\frac{x}{(x^2+1)^{1/2}}\]

you are *differentiating* this?

[it looks like an easy integral]

Answer 2

if you are differentiating, you can use the quotient rule, and the chain rule

Answer 3

or the product rule

[personal bug bear, why does the quotient rule even exist?]

Answer 4

On that note, why have any rule? All we really need is the definition ;)