May/June 2026 Paper 13

2026 · 11 questions · 23 parts · 75 marks

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Context for question 6

The function f is defined by

f (x) = \frac{16}{x ^{3}} + 3 x + 5

for

x \neq = 0

6(a)Stationary Points OptimisationMedium4 marks

Find the coordinates of all stationary points on the curve

y = f (x)

Working

0 words

6(b)Functions Composites InversesHard3 marks

The function g is defined by

g (x) = f (x) + a

where

a

is a constant. It is given that

g (- x) \equiv - g (x)

Find the value of

a

Working

0 words