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Black Book Advanced Problems in MathematicsMathematicsApplication of Derivatives

Let f(x) be twice differentiable function such that f''(x) > 0 in [0, 2] . Then :

Options

  1. Af(0) + f(2) = 2f(c) , for atleast one c, c (0, 2)
  2. Bf(0) + f(2) < 2f(1)
  3. Cf(0) + f(2) > 2f(1)
  4. D2f(0) + f(2) > 3f ( 2 3 )

Correct answer

C. f(0) + f(2) > 2f(1)

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