Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

The curve is given by the equation $3x^2 - 4xy + y^2 = 45$.
(i)[4]

Determine the gradient of the curve at the point $(2, -3)$.

(ii)[3]

Demonstrate that there are no points on the curve where the gradient equals $1$.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Find $2y\frac{dy}{dx}$ as the derivative of $y^2$” …

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