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7.) 2Ct f(xJ= x /メ+4 メ+5

7.) 2Ct f(xJ= x /メ+4 メ+5

Calculus: Early Transcendentals
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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The image contains a handwritten mathematical expression related to calculus, specifically involving function notation and derivatives. --- **Problem:** Let \( f(x) = x^5 \left( \frac{x+4}{x+5} \right)^4 \). Find the derivative \( f'(x) \). --- This problem is a typical exercise in applying the product and chain rules of differentiation. Here, \( f(x) \) is defined as a product of two functions, \( x^5 \) and \( \left( \frac{x+4}{x+5} \right)^4 \), which will require the use of the product rule. Additionally, the second part involves a function raised to a power, which suggests the use of the chain rule.
Transcribed Image Text:The image contains a handwritten mathematical expression related to calculus, specifically involving function notation and derivatives. --- **Problem:** Let \( f(x) = x^5 \left( \frac{x+4}{x+5} \right)^4 \). Find the derivative \( f'(x) \). --- This problem is a typical exercise in applying the product and chain rules of differentiation. Here, \( f(x) \) is defined as a product of two functions, \( x^5 \) and \( \left( \frac{x+4}{x+5} \right)^4 \), which will require the use of the product rule. Additionally, the second part involves a function raised to a power, which suggests the use of the chain rule.
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