Find the points on the ellipse that are farthest away from the point

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Find the points on the ellipse 4x^2 + y^2 = 4 that are farthest away from the point (1, 0).
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I know you did this like a year ago but I just wanted to say thank you for the help! You explain in a very succinct way, and I thank you for not assuming any steps (some videos I watched just skipped over explaining derivatives used) besides the basic arithmetic.

fledbeast
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omg. Thank you so much this was extremely helpful!!!

TheUnderTheSun