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(b) f(z) = tan¯"(5z) - (In(2"))®

(b) f(z) = tan¯"(5z) - (In(2"))®

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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The expression from the image is part of a mathematical function. It is denoted as: \[ (b) \quad f(x) = \tan^{-1}(5x) \cdot (\ln(2^x))^6 \] Explanation: - \(\tan^{-1}(5x)\) refers to the inverse tangent (or arctangent) function applied to \(5x\). - \(\ln(2^x)\) is the natural logarithm of \(2\) raised to the power of \(x\). - The logarithmic expression is then raised to the sixth power, denoted by \((\ln(2^x))^6\). This function demonstrates the composition of inverse trigonometric and logarithmic expressions, useful in calculus and analysis.
Transcribed Image Text:The expression from the image is part of a mathematical function. It is denoted as: \[ (b) \quad f(x) = \tan^{-1}(5x) \cdot (\ln(2^x))^6 \] Explanation: - \(\tan^{-1}(5x)\) refers to the inverse tangent (or arctangent) function applied to \(5x\). - \(\ln(2^x)\) is the natural logarithm of \(2\) raised to the power of \(x\). - The logarithmic expression is then raised to the sixth power, denoted by \((\ln(2^x))^6\). This function demonstrates the composition of inverse trigonometric and logarithmic expressions, useful in calculus and analysis.
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