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Post-UTME Mathematics 2005 Objective — Question 25

Question 25 of 26 from the Post-UTME Screening (Post-UTME) Mathematics 2005 Objective paper, with the correct answer and a full explanation.

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Find dy/dx if x^2 y - 5x = 3

  • A. (5-2xy)/x^2Correct
  • B. 5xy/x
  • C. (5+2xy)/x
  • D. (5-3xy)/x

Explanation

Differentiating implicitly: x^2(dy/dx) + 2xy - 5 = 0, so dy/dx = (5-2xy)/x^2.

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