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Question: 4 345. f(x) = 2*.log37x² - Answer: 345. f'(x) = ln(2)2ª log3 (7ª² −4) + ln(7)2x2ª7x² −4 In(3)7²-4 What I need to know: How do you arrive at this answer from this question? What is the process?

Question: 4 345. f(x) = 2*.log37x² - Answer: 345. f'(x) = ln(2)2ª log3 (7ª² −4) + ln(7)2x2ª7x² −4 In(3)7²-4 What I need to know: How do you arrive at this answer from this question? What is the process?

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:** 345. \( f(x) = 2^x \cdot \log_3 (7^{x^2} - 4) \) **Answer:** 345. \( f'(x) = \ln(2) \cdot 2^x \cdot \log_3 (7^{x^2} - 4) + \frac{\ln(7) \cdot 2^x \cdot 2x \cdot 7^{x^2 - 4}}{\ln(3) \cdot 7^{x^2 - 4}} \) **What I need to know:** How do you arrive at this answer from this question? What is the process?
Transcribed Image Text:**Question:** 345. \( f(x) = 2^x \cdot \log_3 (7^{x^2} - 4) \) **Answer:** 345. \( f'(x) = \ln(2) \cdot 2^x \cdot \log_3 (7^{x^2} - 4) + \frac{\ln(7) \cdot 2^x \cdot 2x \cdot 7^{x^2 - 4}}{\ln(3) \cdot 7^{x^2 - 4}} \) **What I need to know:** How do you arrive at this answer from this question? What is the process?
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