Number of critical point of the function f(X) =x+`sqrt(|x|)` is _______.

Answer

2

Explanation

`f(X)=x+sqrt(|x|)`
`={{:(x+sqrt(x) if xge0),(x+sqrt(-x) if xlt0):}`

The graph of f(x) is shown with f(X) =0 as `x=-1//4` Also derivative fails at x =0 hence there are two critical points