Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

A line with gradient $m$ passes through $(0, -2)$.
(main)[7]

Determine the two values of $m$ for which the line is tangent to the curve $y = x^2 - 2x + 7$, and for each of these values, determine the coordinates of the point at which the line touches the curve.

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This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Tangent line equation $y=mx-2$” …

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