Question

the function f (x) = x/2 + 2/x has local minimum at ?​

Answer 1

Answer:

x=2

Step-by-step explanation:

Given f(x)=x/2 + 2/x

f`(x)=1/2-2/x²

For extremum f ′(x)=0

>0 for x=2

⇒ 1/2-2/x²=0

⇒ x=±2

f′′(x)=4/x³>0 for x=2

∴x=2 is the point of minima

∴ Given function has local minima at x=2.