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13 November, 17:43

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

+1
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  1. 13 November, 18:11
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    We will use the method Minimize f (x) = x + 1/x there for f' (x) = 1 + - 1/x² which can be written as 0 = 1 + - 1/x² which is 1/x² = 1 it makes x² = 1 then x = ±1 We need the positive number so the answer is 1.
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