Q. Amongst all pairs of positive numbers with product , find those whose sum is the least.

 9656  187 Application of Derivatives Report Error

Solution:

Let the required numbers be and . Then,
(given)
Let . Then,
[Using ]

and
For maximum or minimum values of , we must have



is neglected

Now,

Thus, is minimum when .
Putting in we get .
Hence, the required numbers are both equal to .