answer this question fully for math 1401:

I found the

Making use of the 1st Tests (f'(x)=x^3-x^2-x+1),and critical point of x=1 and x=-1, the find all local extrema, intervals of increasing and decreasing, intervals of concavity, and inflection points of ()=((^4)/4) ((^3)/3) ((^2)/2) ++1.