(a)[4]
Demonstrate that $\frac{dy}{dx} = \frac{x^2 + 2xy}{y^2 - x^2}$.
(b)[5]
Find the coordinates of the points on the curve at which the tangent is parallel to the $x$-axis.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
A curve is given by $x^3 + 3x^2y - y^3 = 3$.
Worked solution & mark scheme
This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State or imply the derivative of $3x^2y$ to be $6xy+3x^2\frac{dy}{dx}$” …
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