If f(x) = 7 arctan(6x), find f'(x).

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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**Calculus with Inverse Trigonometry**

**Score:** 8/15     **9/15 answered**

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**Question 1**

If \( f(x) = 7 \arctan(6x) \), find \( f'(x) \).

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Find \( f'(3) \).

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This section presents a calculus problem involving inverse trigonometric functions. Students are tasked with differentiating the function \( f(x) = 7 \arctan(6x) \) and evaluating the derivative at a specific point, \( x = 3 \). The problem includes resources for assistance, indicated by a video help option, and the interface allows for answer submission.
Transcribed Image Text:**Calculus with Inverse Trigonometry** **Score:** 8/15     **9/15 answered** --- **Question 1** If \( f(x) = 7 \arctan(6x) \), find \( f'(x) \). [Input Box] Find \( f'(3) \). [Input Box] *Question Help:* ![Video Icon](URL to video) [Submit Question Button] --- This section presents a calculus problem involving inverse trigonometric functions. Students are tasked with differentiating the function \( f(x) = 7 \arctan(6x) \) and evaluating the derivative at a specific point, \( x = 3 \). The problem includes resources for assistance, indicated by a video help option, and the interface allows for answer submission.
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