f(x): '(x) = *'(3) = 4 sin x 1 + cos x 4 1 + cos(x) then B Or

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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If \( f(x) = \frac{4 \sin x}{1 + \cos x} \), then

\[ f'(x) = \frac{4}{1 + \cos(x)} \]

An answer section is prepared with \( f'(3) = \) followed by a blank space for further calculation or input.

Explanation:
- The image features a mathematical expression. The function \( f(x) \) is provided as the quotient of trigonometric functions.
- The derivative, \( f'(x) \), is calculated and simplified to \( \frac{4}{1 + \cos(x)} \).
- Below that, there is a section labeled \( f'(3) \), indicating a prompt to evaluate the derivative at \( x = 3 \).
Transcribed Image Text:If \( f(x) = \frac{4 \sin x}{1 + \cos x} \), then \[ f'(x) = \frac{4}{1 + \cos(x)} \] An answer section is prepared with \( f'(3) = \) followed by a blank space for further calculation or input. Explanation: - The image features a mathematical expression. The function \( f(x) \) is provided as the quotient of trigonometric functions. - The derivative, \( f'(x) \), is calculated and simplified to \( \frac{4}{1 + \cos(x)} \). - Below that, there is a section labeled \( f'(3) \), indicating a prompt to evaluate the derivative at \( x = 3 \).
Expert Solution
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Given query is to find the derivative.

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