CAPE Pure Mathematics Unit 1 · 2008 (T&T) · Paper 1 · Question Q40

Which of the following is true given that f'(x) and f''(x) can be expressed in terms of x?

1. (A)f'(x) > 0 at A and f'(x) < 0 at B
2. (B)f''(x) > 0 at A and f''(x) < 0 at B
3. (C)f''(x) < 0 at A and f''(x) > 0 at B
4. (D)f'(x) > 0 at A and f''(x) < 0 at B

This question uses a figure or table from the paper — you'll see it when you practise.