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WAEC Further Mathematics 2021 Question 35

Question 35

Differentiation

Find the value of the derivative of y = 3x2(2x + 1) with respect to x at the point x = 2.

  1. A.72
  2. B.84
  3. C.96
  4. D.120
Show the answer and explanation

Answer: B (84)

Explanation

y = 6x³ + 3x², so dy/dx = 18x² + 6x = 72 + 12 = 84 at x = 2.