• Pallavi Saikia

Calculus is the extensively pertinent sub- sectioning of Mathematics that portrays the precise exploration of uninterrupted variation. The sub-section Calculus possesses two foremost shrubs viz., differential calculus and integral calculus where differential calculus apprehended the instantaneous frequencies of alteration of the gradients of curves, whereas the sub-branch integral calculus concentrates about the accrual of extents and calculation of areas bounded by the co-ordinate axes and the curve. The two sub-arenas of Calculus viz., Differential calculus and Integral calculus are associated by means of the fundamental theorem of Calculus which statuses that differentiation is the reverse procedure to integration. These two branches are correlated to one another by the fundamental theorem of calculus and they branded the practice of the fundamental concepts of convergence of infinite sequences and infinite series corresponding conceptualizing the concept of a satisfactorily -demarcated limit. In Mathematics, differential calculus is a sub arena of Calculus that comprehensions the frequencies at which measures or expanse variates. It is one of the two long-established dissections of the subject matter Calculus whereas the second one is integral calculus—the analysis of the expanse underneath a curve. Differential Calculus is that branch of mathematical analysis, devised by Isaac Newton and G.W. Leibniz It is concerned with the problem of finding the rate of change of a function with respect to the variable on which it depends. Thus, it involves calculating derivatives and using them to solve problems involving nonconstant rates of change. Typical applications include finding maximum and minimum values of functions in order to solve practical problems in optimization.

calculus, derivative, differentiation, L’Hôpital’s rule, quotient rule.

"The Embedded Mathematics Behindhand Differential Calculus", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.10, Issue 8, page no.g328-g337, August-2023, Available :http://www.jetir.org/papers/JETIR2308636.pdf

"The Embedded Mathematics Behindhand Differential Calculus", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.10, Issue 8, page no. ppg328-g337, August-2023, Available at : http://www.jetir.org/papers/JETIR2308636.pdf