Barrons AP Calculus - David Bock

(dmanu) #1

  1. (E) Minimize, if possible, xy, where x^2 + y^2 = 200 (x, y > 0). The derivative of the product is
    which equals 0 for x = 10. The derivative is positive to the left of that point and
    negative to the right, showing that x = 10 yields a maximum product. No minimum exists.

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