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 \& equality holds for x = 1

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

Question: Answered & Verified by Expert

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

MathematicsApplication of DerivativesJEE MainJEE Main 2006

Options:

Solution:

1509 Upvotes Verified Answer

The correct answer is:
x = 2

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

Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.