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Black Book Advanced Problems in MathematicsMathematicsApplication of Derivatives

If f'(x) = (x)(x - 2)^2 . Where (2) 0 and (x) is continuous at x = 2 , then in the neighbourhood of x = 2

Options

  1. Af is increasing if (2) < 0
  2. Bf is decreasing if (2) > 0
  3. Cf is neither increasing nor decreasing
  4. Df is increasing if (2) > 0

Correct answer

D. f is increasing if (2) > 0

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