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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Transcribed Image Text:Differentiate.
Given the function:
\[ f(\theta) = \frac{\sin(\theta)}{1 + \cos(\theta)} \]
The derivative \( f'(\theta) \) is calculated as:
\[ f'(\theta) = \frac{(1 + \cos(\theta)) \cos(\theta) - \sin(\theta)(-\sin(\theta))}{(1 + \cos(\theta))^2} \]
Formula Formula d d x f g = g × d d x f - f × d d x g g 2 , i f g ≠ 0
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![Differentiate.
Given the function:
\[ f(\theta) = \frac{\sin(\theta)}{1 + \cos(\theta)} \]
The derivative \( f'(\theta) \) is calculated as:
\[ f'(\theta) = \frac{(1 + \cos(\theta)) \cos(\theta) - \sin(\theta)(-\sin(\theta))}{(1 + \cos(\theta))^2} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3eb03a80-7cae-4d33-b228-e2e0361c370e%2F9de287c5-a019-4563-8bac-ce7533f667d8%2F4k5jimk_processed.png&w=3840&q=75)
