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

Question

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?

Math