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JAMB Mathematics 2025 Objective — Question 20

Question 20 of 40 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2025 Objective paper, with the correct answer and a full explanation.

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Find the equation of the tangent to y=x³-2x+1 at x=1.

  • A. y=x+1
  • B. y=x-1Correct
  • C. y=2x-1
  • D. y=2x+1

Explanation

dy/dx=3x²-2. At x=1, gradient=1 and y=0. Tangent: y-0=1(x-1) ⇒ y=x-1.

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