HSS 4Express AM MYE 2021
HSS 4Express AM MYE 2021
Secondary 4
5 marks
- The equation of a curve is \(y = \frac{2x}{1 - x^2}\). Find an expression for \(\frac{\mathrm{d}y}{\mathrm{d}x}\).[3]
- Using the result in (i) above, explain, with working, why the curve \(y = \frac{2x}{1 - x^2}\) has no turning points.[2]
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Answer:(i) \(\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{2(x^2+1)}{(1-x^2)^2}\) (ii) The curve has no turning points
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