This question is designed to be answered without a calculator.If y = (x2 + x + 1)(x3 – x – 1), then y’(2) =

Use the product rule: y′ = (2x + 1)(x³ − x − 1) + (x² + x + 1)(3x² − 1). At x = 2, the factors and derivatives are 5, 5, 7, and 11, respectively. Thus y′(2) = 5 × 5 + 7 × 11 = 25 + 77 = 102, so the correct choice is 102.

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