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Mathematics · JEE | APPLICATION OF DERIVATIVES
हिन्दीMatch List-I with List-II: List-I List-II A Critical point I Point where derivative does not change sign B Point of Inflection II Point where \( f'(c) = 0 \) or not differentiable C First Derivative Test III Changes sign from positive to negative at local maxima D Second Derivative Test IV Uses \( f''(c) \) to determine local extrema Choose the correct answer from the options given below:
Match List-I with List-II:
| List-I | List-II | ||
|---|---|---|---|
| A | Critical point | I | Point where derivative does not change sign |
| B | Point of Inflection | II | Point where \( f'(c) = 0 \) or not differentiable |
| C | First Derivative Test | III | Changes sign from positive to negative at local maxima |
| D | Second Derivative Test | IV | Uses \( f''(c) \) to determine local extrema |
Choose the correct answer from the options given below:
View Answer & Solution
Correct answer · Option B
A-(II), B-(I), C-(III), D-(IV)
Explanation
Critical points are defined by vanishing or non-existing derivatives (A-II), points of inflection have invariant derivative signs (B-I), the first derivative test tracks sign changes (C-III), and the second derivative test uses \( f'' \) (D-IV).
