The function f ( x ) = 2 x + x 2 has a local minimum at, x = 2, x = − 2, x = 0, x = 1

2 x + x 2 is of the form x + x 1 ≥ 2 and equality holds for x = 1

The function f ( x ) = 2 x + x 2 has a local minimum at

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

MathematicsApplication of DerivativesBITSATBITSAT 2015

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Solution:

2762 Upvotes Verified Answer

The correct answer is: $x=1$

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

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