Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

The graph given by $y = 5x - 2\tan(2x)$ has one and only one stationary point for $0 \leq x \leq \frac{\pi}{4}$.
(main)[6]

Determine the coordinates of this stationary point, with both coordinates correct to 3 significant figures.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Differentiate to find the first derivative of $k_1+k_2\sec^2(2x)$.

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