Volume : II, Issue : VI, June - 2013

Approximate Derivative

T. Srinivas, Dr. Shahnaz Bathul

Abstract :

The functions one encounters in elementary analysis are usually differentiable or At least ,piecewise differentiable. Such functions are, for many purposes, sufficiently well behaved to give rise to smoothly flowing theories. One does not always need the full force of differentiability to obtain the results that one wants, however. Often, the existence of some sort of generalized derivative suffices for the development of at least part of the theory. For, example, the theorem which asserts that a function F, defined on an interval I, and having a positive derivative at each point of I, must be increasing, can be generalized in a number of ways through the use of generalized derivatives. The class of approximate derivatives is much larger than the class of derivatives. In this paper ,I can share my ideas about the behavior of approximate derivative and the study of structure of approximate derivative , which is the natural one to consider when dealing with the surface area.

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Article: Download PDF   DOI : 10.36106/ijsr  

Cite This Article:

T. Srinivas, Dr.shahnaz Bathul Approximate Derivative International Journal of Scientific Research, Vol : 2, Issue : 6 June 2013

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