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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![**Problem Statement:**
Find \( f'(x) \).
**Given Function:**
\[ f(x) = \frac{1 - e^x}{7 + e^x} \]
**Solution:**
Please find the derivative \( f'(x) \) in the space provided:
\[ f'(x) = \boxed{\phantom{___}} \]
*Note:* To find the derivative of the function \( f(x) \), apply the quotient rule, which states that if \( f(x) = \frac{u(x)}{v(x)} \), then
\[ f'(x) = \frac{u'(x)v(x) - u(x)v'(x)}{(v(x))^2} \]
where \( u(x) = 1 - e^x \) and \( v(x) = 7 + e^x \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F93fbfeb8-1c04-41c5-8fc7-ef71b3e51d51%2F9a3e78e4-8b2a-4123-afb6-31f28af4c451%2F2b4jqp6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
Find \( f'(x) \).
**Given Function:**
\[ f(x) = \frac{1 - e^x}{7 + e^x} \]
**Solution:**
Please find the derivative \( f'(x) \) in the space provided:
\[ f'(x) = \boxed{\phantom{___}} \]
*Note:* To find the derivative of the function \( f(x) \), apply the quotient rule, which states that if \( f(x) = \frac{u(x)}{v(x)} \), then
\[ f'(x) = \frac{u'(x)v(x) - u(x)v'(x)}{(v(x))^2} \]
where \( u(x) = 1 - e^x \) and \( v(x) = 7 + e^x \).
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