List I | List II | ||
A. | f(x) has second order derivate at x = c such that f'(c) = 0 and f'(c) < 0; then | I. | point of inflexion of f(x) |
B. | Necessary condition for point x = c to be extreme point of f(x) is | II. | ‘c’ is point of local minima of f(x) |
C. | If f'(x) does not change its sign as x crosses the point x = c then it is called a | III. | c is a critical point of f(x) |
D. | f(x) has second order derivate at x = c such that f'(c) and f'(c) > 0; then | IV. | ‘c’ is point of local maxima of f(x) |