If y=xe, then find d" y dx"

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Problems:**

9.) If \( y = xe^x \), then find \(\frac{d^n y}{dx^n}\).

10.) Find \( h''(x) \) if \( h(x) = f(x^3) \).

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These problems are related to calculus, specifically the differentiation of functions. The first problem asks for the nth derivative of the function \( y = xe^x \), which involves exponential and product rules. The second problem involves finding the second derivative of a composite function.
Transcribed Image Text:Sure, here is the transcription suitable for an educational website: --- **Problems:** 9.) If \( y = xe^x \), then find \(\frac{d^n y}{dx^n}\). 10.) Find \( h''(x) \) if \( h(x) = f(x^3) \). --- These problems are related to calculus, specifically the differentiation of functions. The first problem asks for the nth derivative of the function \( y = xe^x \), which involves exponential and product rules. The second problem involves finding the second derivative of a composite function.
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