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Sagot :
The two positive numbers 1, 1, and their sum (2, respectively), where the second number is the reciprocal of the first and the sum of the two numbers is minimized.
Positive numbers are those that are greater than zero or that are on the number line to the right of zero. There is a negative number that is the polar opposite of every positive number. Positive numbers are written with a negative or minus sign in front of them, and we refer to these numbers as negative numbers.
Let x and 1/x be two different numbers.
These two add up to x + 1/x, or Sum = x + 1/x.
and
The first derivative should be equal to zero and the second derivative should be positive in order to minimize the sum.
So first derivative is (1-1 / [tex]x^{2}[/tex] = 0)
=>x = -1, x = 1
Second derivative is 2/[tex]x^{3}[/tex] which is >0 for x=1.
So your response is 1, 1 and the sum is 2.
To learn more about positive number visit : brainly.com/question/29544326
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