Consider the function f(x)=cos(x)-(sqrt(3)/2)x
It has two critical numbers A<B in [0,2pi]
Give the following:
A=
B=
f"(A)=
f"(B)=
4pi/3
5pi/3
1/2
-1/2
You didn't ask, but the function would have a local minimum at A and a local maximum at B.