IB AA HL May 2026 P2 TZA Q2

IB AA HL May 2026 P2 TZA Q2

IB Year 6 | Grade 12
4 marks
IB May 2026 Examination

Consider a function \(f\) which has a first derivative given by \(f\prime(x)=x^2-x-1\), where \(x\in\mathbb{R}\).

Find the range of values of \(x\) for which \(f\) is decreasing.[4]

Solution:

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Answer:\(\frac{1-\sqrt5}{2}<x<\frac{1+\sqrt5}{2}\)

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