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7 marksDifferentiation I

CAPE Pure Mathematics Unit 1 · May/June 2015 · Paper 2 · Question 5(c)(i)

If y = 2x/√(1 + x²).

Show that x dy/dx = y/(1 + x²).

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Other parts of this question

  1. 5(a)If f is continuous at x = 0, determine the value of a.[4 marks]
  2. 5(b)Using first principles, determine the derivative of f(x) = sin (2x).[6 marks]
  3. 5(c)(ii)Show that d²y/dx² + (3y)/(1 + x²)² = 0.[8 marks]

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