13a. Exponential and Logarithmic Functions and Their Derivatives

  1. Ulrich L. Rohde1,2,
  2. G. C. Jain3,
  3. Ajay K. Poddar2 and
  4. A. K. Ghosh4

Published Online: 28 DEC 2011

DOI: 10.1002/9781118130155.ch13a

Introduction to Differential Calculus: Systematic Studies with Engineering Applications for Beginners

Introduction to Differential Calculus: Systematic Studies with Engineering Applications for Beginners

How to Cite

Rohde, U. L., Jain, G. C., Poddar, A. K. and Ghosh, A. K. (2011) Exponential and Logarithmic Functions and Their Derivatives, in Introduction to Differential Calculus: Systematic Studies with Engineering Applications for Beginners, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9781118130155.ch13a

Author Information

  1. 1

    BTU Cottbus, Germany

  2. 2

    Synergy Microwave Corporation, Paterson, NJ, USA

  3. 3

    Defense Research & Development Organization, Maharashtra, India

  4. 4

    Department of Aerospace Engineering, Indian Institute of Technology – Kanpur, Kanpur, India

Publication History

  1. Published Online: 28 DEC 2011
  2. Published Print: 9 DEC 2011

ISBN Information

Print ISBN: 9781118117750

Online ISBN: 9781118130155

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Keywords:

  • exponential and logarithmic functions, finding the derivative;
  • exponential and power functions, distinction;
  • exponential rate of growth

Summary

This chapter contains sections titled:

  • Introduction

  • Origin of e

  • Distinction Between Exponential and Power Functions

  • The Value of e

  • The Exponential Series

  • Properties of e and Those of Related Functions

  • Comparison of Properties of Logarithm(s) to the Bases 10 and e

  • A Little More About e

  • Graphs of Exponential Function(s)

  • General Logarithmic Function

  • Derivatives of Exponential and Logarithmic Functions

  • Exponential Rate of Growth

  • Higher Exponential Rates of Growth

  • An Important Standard Limit

  • Applications of the Function ex: Exponential Growth and Decay