JAMB Mathematics 2019 Objective — Question 8

Question 8 of 40 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2019 Objective paper, with the correct answer and a full explanation.

If y=(2x+2)³, find dy/dx

A. 3(2x+2)
B. 6(2x+2)²Correct
C. 3(2x+2)²
D. 6(2x+2)

Explanation

Let u=2x+2, y=u³. dy/du=3u², du/dx=2. By the chain rule: dy/dx = 3u²×2 = 6u² = 6(2x+2)².

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