TMUA 2023 Paper 1 Q14 — Worked Solution

P1·Differentiation, Functions, Transformations & Graphs·6.0Official · 2023 · Q14

cubic-rootsstationary-pointssign-of-discriminant

The function

f (x) = \frac{2}{3} x^{3} + 2 m x^{2} + n, m > 0

has three distinct real roots.What is the complete range of possible values of

n

, in terms of

m

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