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Differentiate. d y = log 4 (xº + x) - log4 (x8 + x) = □ dx

Differentiate. d y = log 4 (xº + x) - log4 (x8 + x) = □ dx

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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**Differentiation Exercise** **Problem Statement:** Differentiate the function: \[ y = \log_4(x^8 + x) \] **Solution Approach:** Find the derivative of the function with respect to \( x \): \[ \frac{d}{dx} \log_4(x^8 + x) = \text{[blank box for answer]} \] **Explanation:** To solve this problem, apply logarithmic differentiation rules and the chain rule. Use the change of base formula for logarithms if necessary.
Transcribed Image Text:**Differentiation Exercise** **Problem Statement:** Differentiate the function: \[ y = \log_4(x^8 + x) \] **Solution Approach:** Find the derivative of the function with respect to \( x \): \[ \frac{d}{dx} \log_4(x^8 + x) = \text{[blank box for answer]} \] **Explanation:** To solve this problem, apply logarithmic differentiation rules and the chain rule. Use the change of base formula for logarithms if necessary.
Expert Solution
Step 1: Define the problem.

To differentiate the following function.

straight y equals log subscript 4 open parentheses straight x to the power of 8 plus straight x close parentheses

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