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JAMB Mathematics 2005 Question 37

Question 37

Differentiation

Find the derivative of y = sin(2x3 + 3x − 4).

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

Answer: C ((6x2 + 3) cos(2x3 + 3x − 4))

Explanation

By the chain rule, differentiate the sine to cosine and multiply by the derivative of the inside, 6x2 + 3.