Differentiation · CAPE Integrated Mathematics

5 past-paper questions on Differentiation, part of Calculus, from every CAPE Integrated Mathematics paper on Quelpr.

1. 5(b)(i)5 marks· CAPE Integrated Mathematics · 2016 · Paper 2Given that f(x) = x^3 ln 2x, find f'(x), the first derivative of f(x).
2. 5(b)(ii)3 marks· CAPE Integrated Mathematics · 2016 · Paper 2Determine the derivative of the function g(x) = e^(2x) + cos 3x with respect to x.
3. 5(b)(i)3 marks· CAPE Integrated Mathematics · 2017 · Paper 2Differentiate y = (2x + 3)^6 with respect to x.
4. 5(b)(ii)4 marks· CAPE Integrated Mathematics · 2017 · Paper 2Differentiate y = e^x \sin x with respect to x.
5. 5(c)7 marks· CAPE Integrated Mathematics · 2017 · Paper 2Determine the stationary points for the function f(x) = x^3 - 2x^2 + x - 1, stating whether EACH point is a maximum or minimum.