Question
Mathematics Question on Second Order Derivatives
If f(x) is a function which is derivable in an interval 1 containing a point c, then match List I with List II.List I | List II |
---|---|
A. | f(x) has second order derivate at x = c such that f'(c) = 0 and f'(c) < 0; then |
B. | Necessary condition for point x = c to be extreme point of f(x) is |
C. | If f'(x) does not change its sign as x crosses the point x = c then it is called a |
D. | f(x) has second order derivate at x = c such that f'(c) and f'(c) > 0; then |
Choose the correct answer from the options given below : |
A
A-IV, B-I, C-III, D-II
B
A-II, B-I, C-III, D-IV
C
A-II, B-III, C-I, D-IV
D
A-IV, B-III, C-I, D-II
Answer
A-IV, B-III, C-I, D-II
Explanation
Solution
The correct option is (D) :A-IV, B-III, C-I, D-II.