Maxima & MinimaHardQuestion 5143
Question
The function f(x) = x² − 4x + 5 has a minimum value of:
- A1Correct
- B5
- C4
- D0
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.
Solve this quality-checked NEET multiple-choice question, then review the correct answer and explanation.
f'(x) = 2x − 4 = 0 → x = 2. f(2) = 4 − 8 + 5 = 1. Since f''(x) = 2 > 0, this is a minimum.