The function is y= x(2-x^2) How do I find the local maximum/minimum and intervals of increase/decrease from the first derivative?

The function is y= x√(2-x^2)

How do I find the local maximum/minimum and intervals of increase/decrease from the first derivative? Once I set it to zero I do not know how to solve for the values of x.

How do I find the concavity and points of inflection from the second derivative?