Hello. I need help with the process of the solution. I want a detailed explanation how it worked

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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Hello. I need help with the process of the solution. I want a detailed explanation how it worked.

x-7 5
1) Given f(x) = (), what is f'(x)?
3x²+1,
Answer: 5(x-7)*(-3x²+42x+1)
(3x² +1)6
Solution:
f'(x) = 5(*-7_)* (3x²+1)(1)-(x-7)(6x)'
(3x²+1)²
f'(x) = 5 |
\3x²+1,
(x-7)4
= 5,
(3x²+1)*
-3x2+42x+1
(3x²+1)²
5(x-7)*(-3x²+42x+1)
(3x²+1)6
Transcribed Image Text:x-7 5 1) Given f(x) = (), what is f'(x)? 3x²+1, Answer: 5(x-7)*(-3x²+42x+1) (3x² +1)6 Solution: f'(x) = 5(*-7_)* (3x²+1)(1)-(x-7)(6x)' (3x²+1)² f'(x) = 5 | \3x²+1, (x-7)4 = 5, (3x²+1)* -3x2+42x+1 (3x²+1)² 5(x-7)*(-3x²+42x+1) (3x²+1)6
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