(a(i))[4]
Verify that $\frac{dy}{dx} = \frac{y}{x(3y^3 - 1)}$.
(a(ii))[4]
Determine the coordinates of the point where the tangent to the curve is parallel to the $y$-axis, giving each coordinate correct to $3$ significant figures.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
The curve is described by the equation $\ln(xy) - y^3 = 1$.