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Black Book Advanced Problems in MathematicsMathematicsApplication of Derivatives

Let f(x) = (x - a)(x - b)(x - c) be a real valued function where a < b < c (a, b, c R ) such that f''( ) = 0 . Then if (c₁, c₂) , which one of the following is correct ?

Options

  1. Aa < c₁ < b and b < c₂ < c
  2. Ba < c₁, c₂ < b
  3. Cb < c₁, c₂ < c
  4. DNone of these

Correct answer

A. a < c₁ < b and b < c₂ < c

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