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Suppose the smaller of the 2 numbers is x.

Then the other is x+6

Their product is x*(x+6) = x2 + 6x

Setting the derivative equal to 0 gives 2x + 6 = 0 or x = -3

When x = -3, the other number is -3+3 = 3 and their product is -9.

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Q: Two numbers have a difference of six and their product is a minimum Determine the numbers?
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