Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

The straight line is given by $y = 6x - c$, and the curve is given by $y = cx^2 + 2x - 3$, where $c$ is a constant. The line touches the curve at point $P$.
(main)[7]

State the possible values of $c$ together with the matching coordinates of $P$.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: Construct quadratic $cx^2+2x-3=6x-c$

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