Condition of extremum

which of the folloiwng function has point of extremum at x =0?

which of the folloiwng function has point of extremum at x =0?

For f(x) = sin x - x^(2) + 1 , check weather the function is increasing, decreasing or has a point of extremum ?

The poins of extremum of phi(x)=int_(1)^(x) e^(-t^(2)//2) (1-t^(2))dt are

For f(x) = sin x - x^(2) + 1 , check weather the function is increasing, decreasing or has a point of extremum ?

Investigate the following functions for an extremum at the point x = 0 : y = cos x -1 +(x^(2))/2

The point of extremum of the function phi (x) = int_1^(x) e^(t^(2)/2) (1-t^(2)) dt are

The point of extremum of f(x)=int_(0)^(x)(t-2)^(2)(t-1)dt is a