passpadi

2001

Mathematics

JAMB

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

Correct Answer: 2

Explanation

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

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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