How often Differentiation is asked

5 of 5

papers asked it
avg 21 marks · last Supp 2026

Worth 3–6 marks when it appears as a written question, plus 4 multiple-choice items.

Where it was asked

The questions

  1. Oct/Nov 2024, Q5(a)3 marks

    Using the first-principles (definition of the derivative) method, determine the derivative of the function f(x) = 6/x.

  2. Oct/Nov 2024, Q5(b)(i)3 marks

    Using an appropriate differentiation technique, find the derivative of f(x) = cos^2(x)·e^(tan x), simplifying your answer as far as possible.

  3. Oct/Nov 2024, Q5(b)(ii)3 marks

    Using an appropriate differentiation technique, find the derivative of g(x) = tan^(-1)(2x) / (4x^2 + 1), simplifying your answer as far as possible.

  4. Oct/Nov 2024, Q5(b)(iii)3 marks

    Using an appropriate differentiation technique, find the derivative of h(x) = (x^3 - 9)^50 · e^x, simplifying your answer as far as possible.

  5. Oct/Nov 2024, Q5(b)(iv)3 marks

    Using an appropriate differentiation technique, find the derivative of p(x) = x·ln{ (1 - cos x) / (1 + sin x) }, simplifying your answer as far as possible.

The full Spot Map and the marks by year.