Question If r(x) = ln Select the correct answer below: O r'(x) O r²(x) O r'(x) = = (32² +2+3), find r²(x). = 5 X 5 X 5 + 6x+8 3x²+8x+3 6x+8 3x²+8x+3 3x²+8x+3 6x+8

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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If \( r(x) = \ln \left( \frac{x^5}{3x^2 + 8x + 3} \right) \), find \( r'(x) \).

Select the correct answer below:

- \( r'(x) = \frac{5}{x} - \frac{6x + 8}{3x^2 + 8x + 3} \)

- \( r'(x) = \frac{5}{x} + \frac{6x + 8}{3x^2 + 8x + 3} \)

- \( r'(x) = \frac{x}{5} - \frac{3x^2 + 8x + 3}{6x + 8} \)

- \( r'(x) = -\frac{5}{x} + \frac{6x + 8}{3x^2 + 8x + 3} \)
Transcribed Image Text:Question If \( r(x) = \ln \left( \frac{x^5}{3x^2 + 8x + 3} \right) \), find \( r'(x) \). Select the correct answer below: - \( r'(x) = \frac{5}{x} - \frac{6x + 8}{3x^2 + 8x + 3} \) - \( r'(x) = \frac{5}{x} + \frac{6x + 8}{3x^2 + 8x + 3} \) - \( r'(x) = \frac{x}{5} - \frac{3x^2 + 8x + 3}{6x + 8} \) - \( r'(x) = -\frac{5}{x} + \frac{6x + 8}{3x^2 + 8x + 3} \)
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