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
![**Use derivative rules to differentiate the function. Perform reasonable simplifications.**
\[ h(x) = \sqrt{8x + \sin(9x)} \]
\[ h'(x) = \]
**Instructions:**
1. Differentiate the given function \( h(x) = \sqrt{8x + \sin(9x)} \).
2. Apply appropriate derivative rules (such as the chain rule, product rule, etc.).
3. Simplify the resulting expression as much as possible.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffdc4bd04-a070-4f0a-8c81-81114a590c8c%2Fe1203feb-7cec-4e43-b55c-f8f8cbdb16a1%2Fui0rt6p_processed.png&w=3840&q=75)
Transcribed Image Text:**Use derivative rules to differentiate the function. Perform reasonable simplifications.**
\[ h(x) = \sqrt{8x + \sin(9x)} \]
\[ h'(x) = \]
**Instructions:**
1. Differentiate the given function \( h(x) = \sqrt{8x + \sin(9x)} \).
2. Apply appropriate derivative rules (such as the chain rule, product rule, etc.).
3. Simplify the resulting expression as much as possible.
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