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Black Book Advanced Problems in MathematicsMathematicsApplication of Derivatives

If (f(x) - 1)(x^2 + x + 1)^2 - (f(x) + 1)(x^4 + x^2 + 1) = 0 x R - 0 and f(x) 1 , then which of the following statement(s) is/are correct ?

Options

  1. A|f(x)| 2 x R - 0
  2. Bf(x) has a local maximum at x = -1
  3. Cf(x) has a local minimum at x = 1
  4. D_ - ^ ( x) f(x) dx = 0

Correct answer

A. |f(x)| 2 x R - 0

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