Homework Help is Here – Start Your Trial Now!
Math
Calculus
x 6. Differentiate: y = x² + 3x - 1 A. C. x²+1 x²+3x-1 -x²+1 (x²+3x-1)² 0 2x²+3 eldet 10-(x²+1) B. D. (x²+3x-1)² x²-1 x²+3x-1 _not x8 = (x)}

x 6. Differentiate: y = x² + 3x - 1 A. C. x²+1 x²+3x-1 -x²+1 (x²+3x-1)² 0 2x²+3 eldet 10-(x²+1) B. D. (x²+3x-1)² x²-1 x²+3x-1 _not x8 = (x)}

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...
See similar textbooks
icon
Related questions
Question
**Question 6:** Differentiate \( y = \frac{x}{x^2 + 3x - 1} \). Given options: A. \( \frac{x^2 + 1}{x^2 + 3x - 1} \) B. \( \frac{-(x^2 + 1)}{(x^2 + 3x - 1)^2} \) C. \( \frac{-x^2 + 1}{(x^2 + 3x - 1)^2} \) D. \( \frac{x^2 - 1}{x^2 + 3x - 1} \) Option C is circled, indicating it is the selected answer. **Explanation:** The question involves finding the derivative of a rational function. The function \( y \) is expressed as a fraction where the numerator is \( x \) and the denominator is \( x^2 + 3x - 1 \). The answer choices are expressed in terms of derivatives of rational functions, indicating use of the quotient rule. The correct derivative is Option C.
Transcribed Image Text:**Question 6:** Differentiate \( y = \frac{x}{x^2 + 3x - 1} \). Given options: A. \( \frac{x^2 + 1}{x^2 + 3x - 1} \) B. \( \frac{-(x^2 + 1)}{(x^2 + 3x - 1)^2} \) C. \( \frac{-x^2 + 1}{(x^2 + 3x - 1)^2} \) D. \( \frac{x^2 - 1}{x^2 + 3x - 1} \) Option C is circled, indicating it is the selected answer. **Explanation:** The question involves finding the derivative of a rational function. The function \( y \) is expressed as a fraction where the numerator is \( x \) and the denominator is \( x^2 + 3x - 1 \). The answer choices are expressed in terms of derivatives of rational functions, indicating use of the quotient rule. The correct derivative is Option C.
Expert Solution
steps

Step by step

Solved in 3 steps with 4 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
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: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS