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WAEC Further Mathematics 2008 Question 18

Question 18

Differentiation

Find the derivative of 3x2 + 1/x2

  1. A.6x + 2x2
  2. B.6x + 1/(2x)
  3. C.6x − 2/x3
  4. D.6x − 1/(2x)
Show the answer and explanation

Answer: C (6x − 2/x3)

Explanation

Write 1/x2 as x−2; its derivative is −2x−3. So the answer is 6x − 2/x3.