imo class 12 application of derivatives

Divide 20 into two parts such that their product is maximum. The parts are:

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Divide 20 into two parts such that their product is maximum. The parts are:

  • A. 15 and 5
  • B. 12 and 8
  • C. 10 and 10
  • D. 16 and 4

Answer: C) 10 and 10

Explanation: Let parts be x and 20-x. Product P = x(20-x) = 20x - x². P' = 20 - 2x = 0 gives x = 10. The parts are 10 and 10.

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