Question 931590: Find the positive number such that the sum is 6 times this number and 4 times it's reciprocal is as small as possible Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! Find the positive number such that the sum is 6 times this number and 4 times it's [sic] reciprocal is as small as possible
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f(x) = 6x + 4/x
f'(x) = 6 - 4/x^2 = 0
6x^2 - 4 = 0
x^2 = 2/3
