Domain restrictions from monotonicity

Questions asking to find parameter values or domain restrictions that ensure a function is monotonic (increasing/decreasing), typically using derivative sign analysis.

1 questions · Standard +0.8

1.07i Differentiate x^n: for rational n and sums

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CAIE P1 2019 November Q3

4 marks Standard +0.8

3 The equation of a curve is \(y = x ^ { 3 } + x ^ { 2 } - 8 x + 7\). The curve has no stationary points in the interval \(a < x < b\). Find the least possible value of \(a\) and the greatest possible value of \(b\).