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2x + 3 f(x) = In %3D 7r – 7 f'(x) =

2x + 3 f(x) = In %3D 7r – 7 f'(x) =

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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Let \[ f(x) = \ln \left( \sqrt{\frac{2x + 3}{7x - 7}} \right) \] \[ f'(x) = \] This expression represents the function \( f(x) \) and provides a space to find its derivative \( f'(x) \). The function involves a natural logarithm of a square root, which in turn contains a fraction with a linear numerator \( 2x + 3 \) and a linear denominator \( 7x - 7 \). The task is to calculate the derivative \( f'(x) \).
Transcribed Image Text:Let \[ f(x) = \ln \left( \sqrt{\frac{2x + 3}{7x - 7}} \right) \] \[ f'(x) = \] This expression represents the function \( f(x) \) and provides a space to find its derivative \( f'(x) \). The function involves a natural logarithm of a square root, which in turn contains a fraction with a linear numerator \( 2x + 3 \) and a linear denominator \( 7x - 7 \). The task is to calculate the derivative \( f'(x) \).
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