NEET Physics · Hard

Basic Mathematics & Vectors: Maxima & Minima MCQ

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Maxima & MinimaHardQuestion 5143

Question

The function f(x) = x² − 4x + 5 has a minimum value of:
  1. A
    1
    Correct
  2. B
    5
  3. C
    4
  4. D
    0

Correct answer

1

Explanation

f'(x) = 2x − 4 = 0 → x = 2. f(2) = 4 − 8 + 5 = 1. Since f''(x) = 2 > 0, this is a minimum.