The local minimum value of the function f(x) = x/2 + 2/x, x > 0 is:
The local minimum value of the function f(x) = x/2 + 2/x, x > 0 is:
- A. 1
- B. 4
- C. 1/2
- D. 2
Answer: D) 2
Explanation: f'(x) = 1/2 - 2/x² = 0 → x² = 4. Since x > 0, x = 2. Minimum value f(2) = 2/2 + 2/2 = 1 + 1 = 2.
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