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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![### Differentiate the Given Function
Given the function:
\[ y = \frac{x^5}{1 - x^4} \]
We are to find its derivative, \( y' \).
Here is the expression where you need to input the derivative:
\[ y' = \]
To differentiate this function, you may use the quotient rule, which is given by:
\[ \left( \frac{u}{v} \right)' = \frac{u'v - uv'}{v^2} \]
where \( u = x^5 \) and \( v = 1 - x^4 \). By differentiating \( u \) and \( v \) separately and then applying the quotient rule, you will find the derivative \( y' \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc26eb00c-6846-46c7-90d5-ebc5142366db%2F77ce784f-ab9f-4521-b39e-c83bdffa4db3%2Fjbr78ns.png&w=3840&q=75)
Transcribed Image Text:### Differentiate the Given Function
Given the function:
\[ y = \frac{x^5}{1 - x^4} \]
We are to find its derivative, \( y' \).
Here is the expression where you need to input the derivative:
\[ y' = \]
To differentiate this function, you may use the quotient rule, which is given by:
\[ \left( \frac{u}{v} \right)' = \frac{u'v - uv'}{v^2} \]
where \( u = x^5 \) and \( v = 1 - x^4 \). By differentiating \( u \) and \( v \) separately and then applying the quotient rule, you will find the derivative \( y' \).
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