5 marksDifferentiation I
CAPE Pure Mathematics Unit 1 · May/June 2015 · Paper 2 · Question 5(a)
Given that y = tan⁻¹ (1 − x²), find d²y/dx².
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Practise this questionOther parts of this question
- 5(b)(i)Determine dy/dx in terms of t.[4 marks]
- 5(b)(ii)Determine the value of t for which the circle has vertical tangents.[3 marks]
- 5(c)a)Determine whether the function f has turning points.[4 marks]
- 5(c)b)Determine the vertical and horizontal asymptotes of f.[4 marks]
- 5(c)(ii)Hence, sketch the graph of f.[5 marks]
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