Q77 / 150 · JEE Main 2006 · Mathematics

The function $f(x)=\frac{x}{2}+\frac{2}{x}$ has a local minimum at

  • Correct answer
    A
    x = 2
  • B
    x = −2
  • C
    x = 0
  • D
    x = 1

Solution

$\frac{x}{2}+\frac{2}{x}$ is of the form $x+\frac{1}{x} \geq 2$ \& equality holds for $x=1$

Hence, the correct answer is option: 'A'.

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