Consider the function f(x) = x^2 / (√x + 1). <<< This is the sqrt of (x+1)

(i) Write down the natural domain of f.

(ii) Determine all critical points of f, recalling the domain of f from (i).

(iii) Find the intervals on which f increases/decreases.

(iv) For each critical point, decide whether it is a maximum, a minimum, or neither.