2025 BDS PRELIMS P1 Q13

2025 BDS PRELIMS P1 Q13

Secondary 4
9 marks
2025 Bedok South Secondary School Prelims A Math Paper 1

It is given that \(\mathrm{f}(x)=x^2e^{x+2}\).

  1. Show that the range of values of \(x\) for which \(\mathrm{f}(x)\) is a decreasing function is[4]
    \(-2 < x < 0\).
  2. The gradient with the least value is in the range \(-2 < x < 0\). Find the value of this gradient, giving your answer in exact form.[5]

Solution:

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Answer:(a) \(-2<x<0\) (b) \((2-2\sqrt{2})e^{\sqrt{2}}\)

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