Find point local maxima for the function f(x)=x3 +x2 +x+1
No point of local maxima
To find local maxima or minima let us differentiate f(x)
f'(x) = 3x2 +2x +1
We see discriminant of this expression is negative so no real root exist for f'(x) so there are no extreme points and hence we will not get any point of either local maxima or minima.