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