SOLUTION: The second number is the reciprocal of the first number and the sum is the minimum.

SOLUTION: The second number is the reciprocal of the first number and the sum is the minimum.

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Question 988985: The second number is the reciprocal of the first number and the sum is the minimum.
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
= the first number, so
= the second number = the reciprocal of the first number, and
= the sum.
The derivative is

is positive for , meaning that is increasing in

.
is negative for , meaning that is decreasing in

.
for , where has a maximum.
is positive for , meaning that is increasing in

.
for , where has a minimum.
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