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 1:**
If \( f(x) = \sin^2 x \), find \( f'(x) \).
*Answer box:* [ ]
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**Problem 2:**
Find \( f'(4) \) (round to 3 decimal places).
*Answer box:* [ ]
---
**Explanation:**
This problem involves finding the derivative of the function \( f(x) = \sin^2 x \) and evaluating the derivative at a specific point. To find \( f'(x) \), you'll need to apply the chain rule. Then, you substitute \( x = 4 \) into the derivative function and round the result to three decimal places. No graphs or diagrams accompany this problem; it's purely algebraic.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2b9a25ce-7950-429e-b571-3c0f034f6fd8%2F626ded52-de74-483d-a554-9ea9cfb69d9c%2Fnrv9dio_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem 1:**
If \( f(x) = \sin^2 x \), find \( f'(x) \).
*Answer box:* [ ]
---
**Problem 2:**
Find \( f'(4) \) (round to 3 decimal places).
*Answer box:* [ ]
---
**Explanation:**
This problem involves finding the derivative of the function \( f(x) = \sin^2 x \) and evaluating the derivative at a specific point. To find \( f'(x) \), you'll need to apply the chain rule. Then, you substitute \( x = 4 \) into the derivative function and round the result to three decimal places. No graphs or diagrams accompany this problem; it's purely algebraic.
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