Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

(i)[3]

Express $9x^2 - 12x + 5$ in the form $(ax + b)^2 + c$.

(ii)[3]

Decide whether $3x^3 - 6x^2 + 5x - 12$ is increasing, decreasing, or neither.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Accurate completion of the square giving $(3x - 2)^2 + 1$.

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