Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

The curve is given by $y = 2x^2 - 6x + 5$.
(i)[3]

Determine the values of $x$ for which $y > 13$.

(ii)[3]

Determine the constant $k$ for which the line $y = 2x + k$ touches the curve.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Sets $2x^2-6x+5>13$ equal to $0$ and starts solving.

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