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The curve is given by $y = 3x - \frac{4}{x}$ and it passes through $A(1, -1)$ and $B(4, 11)$. At the points $C$ and $D$ on the curve, the tangent is parallel to $AB$. Find the equation of the perpendicular bisector of $CD$.
Mathematics 9709 · AS & A Level · Differentiation
The curve is given by $y = 3x - \frac{4}{x}$ and it passes through $A(1, -1)$ and $B(4, 11)$. At the points $C$ and $D$ on the curve, the tangent is parallel to $AB$. Find the equation of the perpendicular bisector of $CD$.
This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Differentiate $y=3x-\frac{4}{x}$ to obtain $\frac{dy}{dx}=3+\frac{4}{x^2}$.” …