a. Explanation Given Information: The function y = 1 x . The definition of logarithm function as ln x = ∫ 0 x 1 t d t . Graph: Interpretation: According to the second fundamental theory of calculus F ' ( x ) = f ( x ) .i.e. d ln x d x = 1 x This is applied to the definition of logarithm function as ln x = ∫ 0 x 1 t d t as an integration b. To determine To Find: the definition of exponential function

5th Edition

ISBN: 9781429241861

Author: Laura Taalman, Peter Kohn

Publisher: W. H. Freeman

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Chapter 4, Problem DCP

To determine

To Explain: the graphical features of y=lnx using the graph of y=1x and the definition of logarithm function as lnx=∫0x1tdt .

To determine

To Find: the definition of exponential function

Expert Solution & Answer

Chapter 4 Solutions

Calculus

Ch. 4.1 - Prob. 1TB Ch. 4.1 - Prob. 2TB Ch. 4.1 - Prob. 3TB Ch. 4.1 - Prob. 0C Ch. 4.1 - Prob. 1C Ch. 4.1 - Prob. 2C Ch. 4.1 - Prob. 3C Ch. 4.1 - Prob. 4C Ch. 4.1 - Prob. 5C Ch. 4.1 - Prob. 6C

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ACP Ch. 4 - Prob. BCP Ch. 4 - Prob. CCP Ch. 4 - Prob. DCP

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the graphical features of y = ln x using the graph of y = 1 x and the definition of logarithm function as ln x = ∫ 0 x 1 t d t .

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To Explain: the graphical features of y=lnx using the graph of y=1x and the definition of logarithm function as lnx=∫0x1tdt .

To Find: the definition of exponential function

Chapter 4 Solutions