5 marksDifferentiation II
CAPE Pure Mathematics Unit 2 · May/June 2024 · Paper 2 · Question 1(d)
Given that x = 2t - sin t and y = 1 - cos t, determine d²y/dx².
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Practise this questionOther parts of this question
- 1(a)Given that 3y² - 4xy + sin xy = 5, determine dy/dx.[6 marks]
- 1(b)Differentiate cos⁻¹ (3x - 2), expressing your answer in its simplest form.[3 marks]
- 1(c)(i)Use partial fractions to show that (2x+1)/(3x²-x-2) = 3/(5(x-1)) + 1/(5(3x+2)).[7 marks]
- 1(c)(ii)Hence, or otherwise, determine ∫ (2x+1)/(3x²-x-2) dx.[4 marks]
More practice: the rest of this paper · more Differentiation II questions · all CAPE Pure Mathematics Unit 2 past papers