
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
thumb_up100%

Transcribed Image Text:### Question
What is \( r'(x) \) when \( r(x) = \ln \frac{x}{4x^2 + x} \)?
Select the correct answer below:
- \( r'(x) = -\frac{1}{x} + \frac{8x+1}{4x^2+x} \)
- \( r'(x) = \frac{1}{x} - \frac{4x^2+x}{8x+1} \)
- \( r'(x) = \frac{1}{x} - \frac{8x+1}{4x^2+x} \)
- \( r'(x) = \frac{1}{x} + \frac{8x+1}{4x^2+x} \)
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution
Trending nowThis is a popular solution!
Step by stepSolved in 2 steps with 2 images

Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.Similar questions
- f(x)=4x7^x f′(x)= f′(−2)=arrow_forwardFor the function (x)=1/(x+1) is f(x)^-1= (1/x)-1 the inverse? If so, please show how!arrow_forwardFor the function f(x)=2x^2−3x−1 find f(x+h)−f(x)/h. Overall, how would I solve the difference quotient? (p.s. this is business calculus so it might be slightly different than regular calculus) thank you!!arrow_forward
- A group of researchers found that people prefer YouTube videos that aren't too long, but not too short either. Suppose these researchers determined that the ratings people gave to a video could be approximated byR(t)=20t/t^2 + 100 where t is the length of the video in minutes and R(t) is its rating. What length of video (in minutes) will get the highest rating?arrow_forwardHow do I find the inverse of f(x)=3(2.3)^x where y=f(x)?arrow_forwardLet h(x)=−2x^2+x+4/x^2+4x−1, what is h′(−5)?arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning

Calculus: Early Transcendentals
Calculus
ISBN:9781285741550
Author:James Stewart
Publisher:Cengage Learning

Thomas' Calculus (14th Edition)
Calculus
ISBN:9780134438986
Author:Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:PEARSON

Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:9780134763644
Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:PEARSON

Calculus: Early Transcendentals
Calculus
ISBN:9781319050740
Author:Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:W. H. Freeman


Calculus: Early Transcendental Functions
Calculus
ISBN:9781337552516
Author:Ron Larson, Bruce H. Edwards
Publisher:Cengage Learning