JAMB 2013 · UTME · Q35

If y=(2x+2)3y = (2x + 2)^3, find dydx\dfrac{dy}{dx}.

Worked solution (try it first)
  1. Chain rule: bring down the power 3 and reduce it by one, giving 3(2x+2)23(2x + 2)^2.
  2. Multiply by the derivative of 2x+22x + 2, which is 2: dydx=6(2x+2)2\frac{dy}{dx} = 6(2x + 2)^2, option B.

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