Does g(x) = x|x| have an inflection point at (0;0) and g''(0) does not exist?

[MPC11]

Homework Statement

show that g(x)= x|x| has an inflection point at (0;0) and g'' (0) Does not exist

Homework Equations

The Attempt at a Solution

 

[epenguin]

I can see what they mean. Can you?

Having seen what they mean I can afford to treat this problem with the contempt it deserves.

But you can't.

So what you will have to do is look up the definitions.