Derivatives: A Comprehensive Study of Rate of Change

Authors

  • Dr. Ambrish Kr. Pandey Department of Mathematics, Amity School of Applied Sciences, Amity University, Uttar Pradesh, Lucknow Campus, India https://orcid.org/0000-0001-6636-9036
  • Samkach Singh Department of Mathematics, Amity School of Applied Sciences, Amity University, Uttar Pradesh, Lucknow Campus, India

DOI:

https://doi.org/10.54060/JASE/001.01.005

Keywords:

Computational Problems, Differential equation Component, Derivative functions

Abstract

In mathematics, derivatives are the rate of change of a function with respect to a variable, and they are necessary for answering complex mathematical problems and differential equations. In this paper, a detailed study on the use and concept of derivative that how it comes into existence, how it can be used to calculate the differential coefficients of a function at a particular point in an effective manner, and what are the applications of the rate of change of functions in mathematics as well as in real-life situations is presented. This study will help to understand the in-depth concept of calculus to the new researchers and students of mathematics.

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References

J. Cadena, B. Travis, and S. Norman, “An evaluation of reform in the teaching of calculus,” Mathematics and Computer Education, vol. 37, no. 2, pp. 210–220, 2003.

H. M. Nahikian, W. A. Granville, P. F. Smith, and W. R. Langley, “Elements of the differential and integral calculus,” Nat. Math. Mag., vol. 16, no. 1, p. 54, 1941.

H. B. Keynes and A. M. Olson, “Redesigning the calculus sequence at a research university: issues, implementation, and objectives,” Int. J. Math. Educ. Sci. Technol., vol. 31, no. 1, pp. 71–82, 2000.

R. Rogers, Putting the differentials back into differential calculus. Washington, D.C: Mathematics Association of America, 2005.

S. Salas and E. Hille, Calculus one and several variables. New York, NY: John Wiley & Sons, 1990.

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Published

2021-11-11

How to Cite

[1]
A. K. Pandey and S. Singh, “Derivatives: A Comprehensive Study of Rate of Change ”, J. Appl. Sci. Educ., vol. 1, no. 1, pp. 1–4, Nov. 2021.

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Review Article