Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

A curve is described by the equation $\ln(x + y) = 3x^2y$.
(main)[4]

Find the gradient at the point $(1, 0)$ on the curve.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: State or imply $\dfrac{1+\frac{dy}{dx}}{x+y}$ as the differentiated form of $\ln(x+y)$.

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