What values of x is there an absolute minimum for the function y= -1/3x^2 + 2x?

I found the derivative of the function which is y'=-2/3x + 2

set it to 0=y'=-2/3x + 2
x=3

What do I do now?

2 answers

what is the second derivative of y?

y"=-2/3, which means that the curve is downward, so that is a maximum...

The curve is a parabola, with a max at (x=3), and has no absolute min.
Thank you!