Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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Contingency Table
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Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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The problem is to find the derivative of the function \((\sqrt{x})^x\). The question is followed by multiple-choice options: - Option a: \(\frac{2 \ln (\sqrt{x}) + 1}{2}\) - Option b: \(\sqrt{x}^x \left( \ln (\sqrt{x}) + \frac{1}{2} \right)\) - Option c: \(x (\sqrt{x})^{x-1}\) - Option d: \((\sqrt{x})^x \frac{1}{2x}\) Select one of the given options to answer the question correctly. (Note: The image contains mathematical expressions and multiple-choice answers, but no graphs or diagrams are present.)
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Transcribed Image Text:The problem is to find the derivative of the function \((\sqrt{x})^x\). The question is followed by multiple-choice options: - Option a: \(\frac{2 \ln (\sqrt{x}) + 1}{2}\) - Option b: \(\sqrt{x}^x \left( \ln (\sqrt{x}) + \frac{1}{2} \right)\) - Option c: \(x (\sqrt{x})^{x-1}\) - Option d: \((\sqrt{x})^x \frac{1}{2x}\) Select one of the given options to answer the question correctly. (Note: The image contains mathematical expressions and multiple-choice answers, but no graphs or diagrams are present.)
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