Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

(main)[4]

Calculate the gradient of the curve $x^{3} + 3xy^{2} - y^{3} = 1$ at the point $(1, 3)$.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: State or indicate $3y^2+6xy\frac{dy}{dx}$ as the derivative of $3xy^2$

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