Find f'(1) for f(x) = ln(3x² – 6x – 2) rounded to 3 decimal places. f'(1) = |6-6x/3x^2-6x-2

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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Find \( f'(1) \) for \( f(x) = \ln(3x^2 - 6x - 2) \) rounded to 3 decimal places.

\[ f'(1) = \frac{6 - 6x}{3x^2 - 6x - 2} \]

The attempt yields the boxed and noted incorrect expression for the derivative evaluated at \( x = 1 \).
Transcribed Image Text:Find \( f'(1) \) for \( f(x) = \ln(3x^2 - 6x - 2) \) rounded to 3 decimal places. \[ f'(1) = \frac{6 - 6x}{3x^2 - 6x - 2} \] The attempt yields the boxed and noted incorrect expression for the derivative evaluated at \( x = 1 \).
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