(See) Given y=x^2 e^x. Find y^prime, y^prime \prime and y^prime \prime \prime. Bonus: Determine y^(n) for all positive integer n. Prove your
Question: Given \(y=x^{2} e^{x}\).
- Find \(y^{\prime}, y^{\prime \prime}\) and \(y^{\prime \prime \prime}\).
- Bonus: Determine \(y^{(n)}\) for all positive integer \(n\). Prove your answer.
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