Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

Given that $f(x) = 4\cos^2 3x$.
(i)[3]

Determine the exact value of $f'(\frac{1}{9}\pi)$.

(ii)[3]

Find $\int f(x)\,dx$.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: A derivative in the form $k\cos 3x\sin 3x$, for some constant $k$.

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