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JAMB Mathematics 2014 Question 38

Question 38

Differentiation

If y = 4x3 − 2x2 + x, find dy/dx.

  1. A.12x2 − 4x + 1
  2. B.8x2 − 2x + 1
  3. C.8x2 − 4x + 1
  4. D.12x2 − 2x + 1
Show the answer and explanation

Answer: A (12x2 − 4x + 1)

Explanation

Differentiate term by term: 4 × 3x2 − 2 × 2x + 1 = 12x2 − 4x + 1.