Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

For positive constant $k$, the line $y = kx - k$ is just tangent to the curve $y = -\frac{1}{2x}$.
(main)[5]

Determine the value of $k$ and the coordinates of the point where the tangent meets the curve, in either order.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Set up a quadratic in $x$ or $y$ from the intersection condition

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