Match List I with List II LIST ILIST II A. f′(x) > 0 and f″(x) > 0 I. B. f′(x) > 0 and f″(x) < 0 II. C.…
A is increasing and convex, matching IV. B is increasing and concave, matching I. C is decreasing and concave, matching II. D is decreasing and convex, matching III. The…
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Match List I with List II
| LIST I | LIST II |
|---|---|
| A. f′(x) > 0 and f″(x) > 0 | I.  |
| B. f′(x) > 0 and f″(x) < 0 | II.  |
| C. f′(x) < 0 and f″(x) < 0 | III.  |
| D. f′(x) < 0 and f″(x) > 0 | IV.  |
Answer and explanation
Correct answer C
A is increasing and convex, matching IV. B is increasing and concave, matching I. C is decreasing and concave, matching II. D is decreasing and convex, matching III. The first derivative gives direction and the second gives change in slope. Thus A-IV, B-I, C-II, D-III is the only correct complete mapping.
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UGC NET Economics