WAEC Further Mathematics 2025 Objective — Question 12

Question 12 of 40 from the West African Examinations Council (WAEC) Further Mathematics 2025 Objective paper, with the correct answer and a full explanation.

If y = (2-x)/(3+5x), find dy/dx.

A. -13/(5x-3)
B. -13/(5x+3)²Correct
C. 13/(5x-3)²
D. 13/(5x+3)

Explanation

Using the quotient rule with u=2-x, v=3+5x: dy/dx = [v(-1)-u(5)]/v² = (-3-5x-10+5x)/(3+5x)² = -13/(5x+3)².

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