Question on: JAMB Mathematics - 2001

If the gradient of the curve y = 2kx2 + x + 1 at x = 1 is 9, find k.

A
4
B
3
C
2
D
1
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Correct Option: C

y = 2kx2 + x + 1

Gradient function dy/dx = 4kx + 1

at dy/dx = 9, => 9 = 4kx + 1

=> 8 = 4kx, and k = 8/4x.

At x = 1, k = 8/4 = 2

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