(i)[3]
Find the equation for the tangent to the curve at $A$.
(ii)[4]
The normal to the curve at $A$ meets the curve again at $B$. Find the coordinates of $B$.
(iii)[4]
The tangents at $A$ and $B$ meet at $C$. Find the coordinates of $C$.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
Point $A\,(2, 2)$ is located on the curve $y = x^2 - 2x + 2$.
Worked solution & mark scheme
This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Differentiate and then substitute $x=2$ to get gradient $m=2$” …
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