---### Find the Derivative of the FunctionGiven the function:\[ g(x) = \ln(|x^9 - x|) \]Determine the derivative \[ g'(x) \]:\[ g'(x) = \boxed{\phantom{answer}} \]---In this exercise, you are required to find the derivative of the given function involving a natural logarithm and absolute value. Use the rules of differentiation, including the chain rule and properties of logarithmic functions, to obtain $ g'(x) $. Write your answer in the provided box.

Name: ---### Find the Derivative of the FunctionGiven the function:\[ g(x)
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Description: ---### Find the Derivative of the FunctionGiven the function:\[ g(x) = \ln(|x^9 - x|) \]Determine the derivative \[ g'(x) \]:\[ g'(x) = \boxed{\phantom{answer}} \]---In this exercise, you are required to find the derivative of the given function inv

Formula used. ddxln(x)=1x;ddx(x)n=nxn-1

Answered: Find the derivative of the function.…

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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### Find the Derivative of the Function

Given the function:

\[ g(x) = \ln(|x^9 - x|) \]

Determine the derivative \[ g'(x) \]:

\[ g'(x) = \boxed{\phantom{answer}} \]

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In this exercise, you are required to find the derivative of the given function involving a natural logarithm and absolute value. Use the rules of differentiation, including the chain rule and properties of logarithmic functions, to obtain $ g'(x) $. Write your answer in the provided box.

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