Interval of decrease of a function from a quadratic first derivative with irrational roots
Interval of decrease of a function from a quadratic first derivative with irrational roots
IB Year 6 | Grade 12
4 marks
The derivative of a function \(f\) is given by \(f'(x)=x^2-x-1\), for all \(x\in\mathbb{R}\).
Find the range of values of \(x\) on which \(f\) is decreasing.[4]
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Answer:\(\frac{1-\sqrt5}{2}<x<\frac{1+\sqrt5}{2}\)
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