f(x) = sin² x, find f'(x) Find f'(4) (round to 3 decimal places)

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:* [                         ]

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**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.
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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