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JAMB Mathematics 1997 Question 38

Question 38

Differentiation

Differentiate (6x3 − 5x2 + 1)/3x2 with respect to x

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

Answer: C (2 − 2/(3x3))

Explanation

Divide first: 2x − 5/3 + (1/3)x⁻². Differentiating gives 2 − (2/3)x⁻³ = 2 − 2/(3x³).