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#dual-numbers

1 question from Optimization & Calculus

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Question 1: Short answer

mediumAI-checkedOptimization & Calculus

Dual numbers $a + b\varepsilon$ with $\varepsilon^2 = 0$ carry a value and a derivative together. Evaluate $g(x) = 5x^2 + 4x + 1$ at the dual number $5 + \varepsilon$ and write the result as $a + b\varepsilon$ : $a$ = and $b$ = .

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