Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

(main)[6]

The curve is given by $x^2 + 2y^2 + 5x + 6y = 10$. Determine the equation of the tangent to the curve at the point $(2, -1)$. Present your answer in the form $ax + by + c = 0$, with $a$, $b$ and $c$ all integers.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Get $4y\frac{dy}{dx}$ as the derivative of $2y^2$

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