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JAMB Mathematics 2016 Objective — Question 27

Question 27 of 50 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2016 Objective paper, with the correct answer and a full explanation.

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27. Find dy/dx if y = ⅔x³ - (4/x) + 1(4x⁻¹) A. 2x²+4x⁻² B. 2x²-4x⁻² C. 2x²+2x⁻² D. 2x²+4x⁻²

  • A. 2x²+4x⁻²
  • B. 2x²-4x⁻²
  • C. 2x²+2x⁻²
  • D. 2x²+4x⁻²Correct

Explanation

y = (2/3)x³ - 4x⁻¹ + 1(4x⁻¹); dy/dx = 3×(2/3)x² + 1(4x⁻²) = 2x² + 4x⁻².

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