Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
Please show me work and answer. When I worked it out the second given derivative didn’t match up.
![**Given the Function**
\[ y = \frac{-x^3}{(x+2)(x-2)} \]
**with**
\[ y'' = \frac{-6x(x^2 - 2x + 4)}{(x+2)^3(x-1)^3} \]
**Task:**
Find \( y' \).
---
### Explanation:
The problem presents a rational function for \( y \) and its second derivative \( y'' \). The goal is to find the first derivative, \( y' \), of the given function. The expressions involve polynomial and rational exponents, indicating the use of derivative rules, such as the quotient rule and product rule, to find \( y' \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3341284f-d761-40a1-94fb-8b0932aec828%2F99ff0d86-b328-47a2-b5c1-b75cdb27424e%2Fipn2c0p_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Given the Function**
\[ y = \frac{-x^3}{(x+2)(x-2)} \]
**with**
\[ y'' = \frac{-6x(x^2 - 2x + 4)}{(x+2)^3(x-1)^3} \]
**Task:**
Find \( y' \).
---
### Explanation:
The problem presents a rational function for \( y \) and its second derivative \( y'' \). The goal is to find the first derivative, \( y' \), of the given function. The expressions involve polynomial and rational exponents, indicating the use of derivative rules, such as the quotient rule and product rule, to find \( y' \).
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