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1 + sin x Differentiate y = x + cos x

1 + sin x Differentiate y = x + cos x

Calculus: Early Transcendentals
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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Question
Differentiate \( y = \frac{1 + \sin x}{x + \cos x} \).
Transcribed Image Text:Differentiate \( y = \frac{1 + \sin x}{x + \cos x} \).
Expert Solution
Step 1

As we know that:

The Quotient rule:

fg'=f'·g+g'·fg2

The Power rule:

ddxxn=nxn-1

Given:

y=1+sinxx+cosx

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