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Derivatives: A Comprehensive Study of Rate of Change

Ambrish Kumar Pandey, Samkach Singh,
Research Paper | Journal Paper
Volume 1 , Issue 1 , PP 1-4
DOI: https://doi.org/10.54060/JASE/001.01.005


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.

Key-Words / Index Term

Solving Computational Problems, Differential equation Component, Derivative func-tions.


  1. 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.
  2. 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.
  3. 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.
  4. Rogers, Putting the differentials back into differential calculus. Washington, D.C: Mathematics Association of America, 2005.
  5. Salas and E. Hille, Calculus one and several variables. New York, NY: John Wiley & Sons, 1990.