AM-2219

Tangents and normals

A Math · Secondary 4 · Hard · Tangents and normals

The gradient function of a curve is

\dfrac{dy}{dx} = (4k-1)x - 3

, where

k

is a constant. Given that the tangent to the curve at the point where

x=2

is parallel to the line

3y - 6x + 1 = 0

, find the value of

k

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