I am attempting to graph $ y = x^4 - 3x^3 + 3x^2 - x$
The derivative is $y=4x^3 -9x^2 + 6x-1$.
The second derivative is $y=12x^2-18x+6$.
The intercepts will be $x= 0$ and $y= 0$.
Past this, I can't find any way to get critical numbers. I do not know how to factor something like that all but I know it has roots.