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Black Book Advanced Problems in MathematicsMathematicsApplication of Derivatives

Let g(x) be a cubic polynomial having local maximum at x = -1 and g'(x) has a local minimum at x = 1 . If g(-1) = 10, g(3) = -22 , then :

Options

  1. Aperpendicular distance between its two horizontal tangents is 12
  2. Bperpendicular distance between its two horizontal tangents is 32
  3. Cg(x) = 0 has atleast one real root lying in interval (-1, 0)
  4. Dg(x) = 0 , has 3 distinct real roots

Correct answer

B. perpendicular distance between its two horizontal tangents is 32

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