The function f(x) = x² - 4x + 6 is strictly increasing in the interval: A. (-∞, 2) B. (-2, 2) C. (2, ∞) D. (-∞, ∞) Answer: C) (2, ∞) Explanation: f'(x) = 2x - 4. For strictly increasing, f'(x) > 0, so 2x - 4 > 0, which means x > 2. The interval is (2, ∞).

imo class 12 application of derivatives

The function f(x) = x² - 4x + 6 is strictly increasing in the interval:

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The function f(x) = x² - 4x + 6 is strictly increasing in the interval:

Answer: C) (2, ∞)

Explanation: f'(x) = 2x - 4. For strictly increasing, f'(x) > 0, so 2x - 4 > 0, which means x > 2. The interval is (2, ∞).