Find a positive number for which the sum of it and its reciprocal is the smallest possible.

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10-11-2017
Mathematics

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Find a positive number for which the sum of it and its reciprocal is the smallest possible.

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W0lf93 W0lf93 · Answer 1 · 2017-11-21T14:27:54+01:00

W0lf93 W0lf93

21-11-2017

We will use the method Minimize f(x) = x + 1/x there for f'(x) = 1 + -1/xÂ˛ which can be written as 0 = 1 + -1/xÂ˛ which is 1/xÂ˛ = 1 it makes xÂ˛ = 1 then x = Â±1 We need the positive number so the answer is 1.

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