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WAEC Further Mathematics 2023 Objective — Question 15

Question 15 of 40 from the West African Examinations Council (WAEC) Further Mathematics 2023 Objective paper, with the correct answer and a full explanation.

The gradient of the curve y=mx^2+3x-1 at the point (-1,1) is 9. Find the value of m.

A. -3 B.-5/4Correct
B. C.5/4
C. D.3 (see note)
D. (options as printed are irregular; correct value is m = -3)

Explanation

dy/dx=2mx+3. At (-1,1): 2m(-1)+3=9 => -2m=6 => m=-3.

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