anonymous
  • anonymous
Find the real number which exceeds its square by the greatest amount.
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
hey, how's it going?
anonymous
  • anonymous
Awesome, you?
anonymous
  • anonymous
not 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

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
do you know what function we need the maximum of?
anonymous
  • anonymous
x-x^2?
anonymous
  • anonymous
There wasn't one given, so I just guessed that this one would be it.
anonymous
  • anonymous
well we could do x-x^2, but then we'd just need to look for the minimum
anonymous
  • anonymous
err sorry you're right my bad
anonymous
  • anonymous
so yeah, take the derivative of that and set equal to 0
anonymous
  • anonymous
1-2x=0...1/2?
anonymous
  • anonymous
right
anonymous
  • anonymous
Great! Thank you so much for all of your help! :)
anonymous
  • anonymous
you can check that it is a maximum since it is positive to the left and negative to the right of 1/2
anonymous
  • anonymous
Oh my gosh, I didn't even notice that or think to graph it.

Looking for something else?

Not the answer you are looking for? Search for more explanations.