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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Question
![**Differentiate**
\[
\frac{\ln(5x^2 + 1)}{6x^3 + 1}
\]
In this expression, we are tasked with differentiating the function. The numerator of the fraction is the natural logarithm of the expression \(5x^2 + 1\), and the denominator is \(6x^3 + 1\). The problem involves applying the quotient rule, which is a technique used in calculus to differentiate functions that are expressed as one function divided by another.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa8713e9b-73ac-4e4f-a322-df330d573c40%2F216abb87-f2b1-4572-9866-adc201ed9545%2Fohg6v5_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Differentiate**
\[
\frac{\ln(5x^2 + 1)}{6x^3 + 1}
\]
In this expression, we are tasked with differentiating the function. The numerator of the fraction is the natural logarithm of the expression \(5x^2 + 1\), and the denominator is \(6x^3 + 1\). The problem involves applying the quotient rule, which is a technique used in calculus to differentiate functions that are expressed as one function divided by another.
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Step 1: Introduce the given function.
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