A curve is defined parametrically by x = \sin^{-1} \sqrt{t}, y = t^2 - 2t.
Find the gradient of a tangent to the curve at the point with parameter t.
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Practise this question\frac{\mathrm{d}y}{\mathrm{d}x} and \frac{\mathrm{d}^2y}{\mathrm{d}x^2}.[5 marks]x-coordinates of the points at which \frac{\mathrm{d}y}{\mathrm{d}x} = 0.[2 marks]x-coordinates of the points at which \frac{\mathrm{d}^2y}{\mathrm{d}x^2} = 0.[2 marks]y = x^2 e^x.[7 marks]t = \frac{1}{2}.[3 marks]More practice: the rest of this paper · more Differentiation II questions · all CAPE Pure Mathematics Unit 2 past papers