Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

The curve has equation $y = (2k - 3)x^2 - kx - (k - 2)$, with $k$ as a constant. The straight line $y = 3x - 4$ touches the curve.
(main)[5]

Determine the value of $k$.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Set the curve equal to the line: $(2k-3)x^2-kx-(k-2)=3x-4$

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