Post-UTME Mathematics 2015 Objective — Question 5
Question 5 of 40 from the Post-UTME Screening (Post-UTME) Mathematics 2015 Objective paper, with the correct answer and a full explanation.
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The derivative with respect to x of cos(2x - 3x²) is
- A. (6x-2) sin(2x-3x²)Correct
- B. -sin(2x-3x²)
- C. (-6x+2) sin(2x-3x²)
- D. -sin(2-6x)
Explanation
d/dx[cos(u)] = -sin(u)·u'; u'=2-6x, so derivative = -(2-6x)sin(2x-3x²) = (6x-2)sin(2x-3x²).
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