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The gradient of the curve y = mx\(^2\) + 3x - 1 at the point...

Further Mathematics
WAEC 2024

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. 3
  • C. \(\frac{-5}{4}\)
  • D. \(\frac{5}{4}\)
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Correct Answer: Option A
Explanation

y = mx\(^2\) + 3x - 1 at the point (-1, 1)

\(\frac{dy}{dx}\) = 9

\(\frac{dy}{dx}\) = 2mx + 3 = 9, but x = -1

2m(-1) + 3 = 9

-2m = 9 - 3 = 6

m = \(\frac{6}{-2}\) = - 3


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