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Most Important Selected Qs for JEE AdvancedMathematicsApplication of Derivatives

Paragraph: Read the following write up carefully and answer the following questions: If f(x) is a differentiable function wherever it is continuous and f^ (c₁ )=f^ (c₂ )=0 , f^ (c₁ ) f^ (c₂ ) 0, f (c₁ )=5, f (c₂ )=0 and (c₁ c₂ ) Question: If f(x) is continuous in [c₁, c₂ ] and f^ (c₁ )-f^ (c₂ ) 0 , then minimum number of roots of f(x)=0 in [c₁-1, c₂+1 ] is

Options

  1. A2
  2. B3
  3. C4
  4. D5

Correct answer

A. 2

Step-by-step solution

aligned & f^ (c₁ ) ^ (c₂ ) & f^ (c₁ ) 0 and f^ (c₂ ) 0 & at x=c₁, f has local minimum and at x=c₂, f has local maximum aligned

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