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Black Book Advanced Problems in MathematicsMathematicsApplication of Derivatives

f(x) = x^6 - x - 1, x [1, 2] . Consider the following statements : (1) f is increasing on [1, 2] (2) f has a root in [1, 2] (3) f is decreasing on [1, 2] (4) f has no root in [1, 2] Which of the above are correct?

Options

  1. A1 and 2
  2. B1 and 4
  3. C2 and 3
  4. D3 and 4

Correct answer

A. 1 and 2

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