Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

A curve is described by $x^2\ln(2y)-y\ln(2+x^2)=\ln 6$.
(main)[5]

State the exact gradient of the curve at the point $(2,3)$. Give your answer in simplified form.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: For $x^2\ln(2y)$, the derivative is $\frac{d}{dx}(x^2\ln 2y)=2x\ln(2y)+x^2\frac{1}{y}\frac{dy}{dx}$.

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI