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WAEC Further Mathematics 2013 Question 11

Question 11

Differentiation

Differentiate x2 + xy − 5 = 0 with respect to x.

  1. A.−(2x + y)/x
  2. B.(2x − y)/x
  3. C.x/(2x + y)
  4. D.(2x + y)/x
Show the answer and explanation

Answer: A (−(2x + y)/x)

Explanation

2x + y + x(dy/dx) = 0, so dy/dx = −(2x + y)/x.