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GCE Mathematics 2025 Objective — Question 60

Question 60 of 60 from the General Certificate of Education (GCE) Mathematics 2025 Objective paper, with the correct answer and a full explanation.

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If y=x^2 - 1/x, find dy/dx at x=1.

  • A. -3
  • B. -2
  • C. -1

Explanation

y = x^2 - x^-1. dy/dx = 2x + x^-2. At x=1: dy/dx = 2(1)+1 = 3.

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