Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

For each curve shown below, determine the gradient at the point where the curve meets the $y$-axis:
(a)[3]

The curve is $y = \frac{1 + x^2}{1 + e^{2x}}$.

(b)[4]

The equation is $2x^3 + 5xy + y^3 = 8$.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: Apply the quotient rule correctly, or use an equivalent method

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