(i)[6]
Determine the equation of the tangent to the curve at the point $(-1, 3)$. Write your answer in the form $ax + by + c = 0$, where $a$, $b$ and $c$ are integers.
(ii)[4]
Demonstrate that no point on the curve has gradient $\frac{1}{2}$.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
A curve is defined by $x^2 + 4xy + 2y^2 = 7$.
Worked solution & mark scheme
This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State $4y+4x\frac{dy}{dx}$ as the differentiated form of $4xy$” …
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