Question 1059519
first derivative
{{{6x^2-6x=0}}}
{{{x^2-x=0}}}
{{{x(x-1)=0}}}


Know the basic shape of cubic polynomial or function!
Maximum at x=0 and minimum and x=1.
You can figure the intervals of the function increasing.


Second derivative
{{{12x-6}}}
{{{12x-6=0}}}
{{{2x-1=0}}}
{{{2x=1}}}
{{{x=1/2}}}-----------this is where you find the inflection point, and again, understanding the shape of cubic functions,  the interval on which f is concave downward is  (-infinity, 1/2 ).