9 marksDifferentiation I
CAPE Pure Mathematics Unit 1 · May/June 2017 · Paper 2 · Question 5(c)(i)(b)
Given that y = √(2 + 2x²).
Show that d²y/dx² - 4/y³ = 0.
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Practise this questionOther parts of this question
- 5(a)Determine the value of k for which f(x) = (x²-1)/(x-1) for x ≠ 1 and f(x) = k for x = 1 is continuous for all values of x.[4 marks]
- 5(b)(i)Find dy/dx in terms of t.[3 marks]
- 5(b)(ii)Hence, determine all points of C such that dy/dx = 0.[6 marks]
- 5(c)(i)(a)Show that y(dy/dx) - 2x = 0.[9 marks]
- 5(c)(ii)Hence, find the value of d²y/dx² when x = 0.[3 marks]
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