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Find using properties of logarithms: y = ln (= cos(z)) 36x-1 dy d

Find using properties of logarithms: y = ln (= cos(z)) 36x-1 dy d

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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**Objective:** Find \(\frac{dy}{dx}\) using properties of logarithms. **Given Equation:** \[ y = \ln \left( \frac{x^5 \cos(6x)}{\sqrt[3]{6x-1}} \right) \] **Explanation:** The task is to differentiate the given logarithmic function using logarithmic differentiation.
Transcribed Image Text:**Objective:** Find \(\frac{dy}{dx}\) using properties of logarithms. **Given Equation:** \[ y = \ln \left( \frac{x^5 \cos(6x)}{\sqrt[3]{6x-1}} \right) \] **Explanation:** The task is to differentiate the given logarithmic function using logarithmic differentiation.
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We can find the derivative using the properties of logarithms in in the below steps.

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