delilahdiaz1725 delilahdiaz1725
  • 10-11-2017
  • Mathematics
contestada

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

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W0lf93
W0lf93 W0lf93
  • 21-11-2017
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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