Find f'(1) for f(x) = ln(√6x - 3)

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(sqrt6x-3)

**Problem:**

Find \( f'(1) \) for \( f(x) = \ln(\sqrt{6x - 3}) \).

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This problem asks us to determine the derivative of the function \( f(x) = \ln(\sqrt{6x - 3}) \) at the point \( x = 1 \). To solve this, we need to apply differentiation techniques, possibly involving the chain rule and logarithmic differentiation.
Transcribed Image Text:**Problem:** Find \( f'(1) \) for \( f(x) = \ln(\sqrt{6x - 3}) \). --- This problem asks us to determine the derivative of the function \( f(x) = \ln(\sqrt{6x - 3}) \) at the point \( x = 1 \). To solve this, we need to apply differentiation techniques, possibly involving the chain rule and logarithmic differentiation.
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