Let ( f(x) = min 1, 1x sin x ), ( 0 < x < 2 ). If ( m ) is the number of points where ( f ) is not differentiable and ( n ) is the number of points where ( f ) is not continuous, then the ordered pair ( (m, n) ) is equal to:
a) ( (1, 1) )
b) ( (0, 1) )
c) ( (0, 0) )
d) ( (1, 0) )
