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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 IList 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.