(i)[4]
Show that $\frac{dy}{dx} = -\frac{y}{x^2}$.
(ii)[4]
Find the tangent's equation at the point where $y = 1$, and express your answer in the form $ax + by + c = 0$.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
The curve is described by the equation $x \ln y = 2x + 1$.
Worked solution & mark scheme
This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Recognise or state that $\frac{1}{y}\frac{dy}{dx}$ is the derivative of $\ln y$” …
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