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anonymous
 5 years ago
Find the real number which exceeds its square by the greatest amount.
anonymous
 5 years ago
Find the real number which exceeds its square by the greatest amount.

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0not bad, so it's asking for the greatest amount, which is another way of asking for a maximum, so we know we want the derivative of some function

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0do you know what function we need the maximum of?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0There wasn't one given, so I just guessed that this one would be it.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0well we could do xx^2, but then we'd just need to look for the minimum

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0err sorry you're right my bad

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so yeah, take the derivative of that and set equal to 0

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Great! Thank you so much for all of your help! :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0you can check that it is a maximum since it is positive to the left and negative to the right of 1/2

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Oh my gosh, I didn't even notice that or think to graph it.
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