TMUA 2017 Paper 1 Q16 — Worked Solution

P1·Differentiation, Inequalities·6.0Official · 2017 · Q16

increasing-decreasingsign-of-derivativeset-intersection

The functions

f

and

g

are given by

f (x) = 3 x^{2} + 12 x + 4

and

g (x) = x^{3} + 6 x^{2} + 9 x - 8

. What is the complete set of values of

x

for which one of the functions is increasing and the other decreasing?

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