Question

(c) 29
3. Find the minimum value of the expression (p+1/p);
p > 0.
(a) 1
(b) 0
(c) 2
(d) Depends upon the value of p​

Answer 1

Step-by-step explanation:

Let f(p)=p+(1/p)

f'(p)=1-1/p²=0

1=1/p²

p²=1

p=±1

If p=1, 1+(1/1)=1+1=2

If p=-1, (-1)+(1/-1)=-1-1=-2

But given that p>0, so minimum values is 2