4 marksDifferentiation I
CAPE Pure Mathematics Unit 1 · May/June 2008 · Paper 2 · Question 5(b)(i)a)
Given that y = x / (1-4x).
Find dy/dx.
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Practise this questionOther parts of this question
- 5(a)Use L'Hopital's rule to obtain lim (x→0) (sin 4x / sin 5x).[3 marks]
- 5(b)(i)b)Show that x² dy/dx = y².[2 marks]
- 5(b)(ii)Hence, or otherwise, show that x² d²y/dx² + 2(x - y) dy/dx = 0.[3 marks]
- 5(c)(i)Show that h = 20/x - 3x/5.[4 marks]
- 5(c)(ii)Find the height of the box for which its volume V cm³ is a maximum.[9 marks]
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