imo class 12 application of derivatives

The interval in which the function f(x) = x² − 4x + 6 is strictly decreasing is:

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The interval in which the function f(x) = x² − 4x + 6 is strictly decreasing is:

  • A. (−∞, 2)
  • B. (2, ∞)
  • C. (−∞, 4)
  • D. (4, ∞)

Answer: A) (−∞, 2)

Explanation: f'(x) = 2x − 4. f'(x) < 0 → 2x < 4 → x < 2. So decreasing on (−∞, 2).

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