Intervals on which a function is decreasing from a quadratic derivative
Intervals on which a function is decreasing from a quadratic derivative
4 marks
The gradient function of a curve \(y=\mathrm{f}(x)\), \(x\in\mathbb{R}\), is \(\mathrm{f}'(x)=2+5x-3x^2\).
Find all values of \(x\) where \(\mathrm{f}\) is a decreasing function.[4]
Solution:
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Answer:\(x<-\dfrac13\) or \(x>2\)
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