Question

The function f(x)=dfracx2+(2)/(x) has a local minimum at

• A. \(x=2\)
• B. \(x=-2\)
• C. \(x=0\)
• D. x=1

Hint:

Check second derivative to distinguish maxima and minima.

Answer 1

The Correct Option is A

\( f'(x) = \dfrac{1}{2} - \dfrac{2}{x^2} = 0 \Rightarrow x^2 = 4 \)
Using second derivative test, minimum occurs at \( x = 2 \).