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OAU Post-UTME Mathematics 2019 Question 2

Question 2

Differentiation

Differentiate sin (1 − 2x3)

  1. A.cos (1 − 2x3)
  2. B.−cos(1 − 2x3)
  3. C.cos(12x5 − 6x2)
  4. D.−6x2cos(1 − 2x3)
Show the answer and explanation

Answer: D (−6x2cos(1 − 2x3))

Explanation

Chain rule: the derivative of sin u is cos u × du/dx, and du/dx = −6x². So the answer is −6x² cos(1 − 2x³).