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JAMB 2004 · UME · Q36

Find the derivative of the function y=2x2(2x−1)y = 2x^2(2x - 1) at the point x=−1x = -1.

Worked solution (try it first)
  1. Expand: y=4x3−2x2y = 4x^3 - 2x^2.
  2. Differentiate: dydx=12x2−4x\frac{dy}{dx} = 12x^2 - 4x.
  3. At x=−1x = -1: 12(1)−4(−1)=12+4=1612(1) - 4(-1) = 12 + 4 = 16, option C.

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