With the usual notations, the properties of maxima and minima under various conditions are:
(P) Maxima
(i) f'(x) = 0
(ii) f''(x) < 0
(iii) f''(x) > 0, f'(x) > 0
(iv) f''(x) > 0, f'(x) < 0
(Q) Minima
(i) f'(x) = 0
(ii) f''(x) > 0
(iii) f''(x) < 0, f'(x) > 0
(iv) f''(x) < 0, f'(x) < 0
(R) Saddle Point
(S) Case of failure
A. P - (ii), Q - (iii), R - (iv), S - (ii)
B. P - (ii), Q - (i), R - (iii), S - (iv)
C. P - (iv), Q - (iii), R - (i), S - (ii)
D. P - (iv), Q - (iii), R - (ii), S - (i)