The main aim of the history of mathematics and further their fondest sweep is pure individual the humanity, beauty, approbation and dignity. The history further describes the efforts that built up the magnificent statue and also annotate the many generations or stages which are necessary to know. With this, the mathematicians made were not higher quality but they were gentler ones. This enriches and embellish their minds, ripe their hearts and bring out their finest qualities. >
Differentiation is originated from calculus or we can spiel that calculus is the author of differentiation. Ergo, lets have a look on the history and modifications that took place in calculus. The credit of word of calculus goes to two men one is Newton and Gottfried Leibniz. The initial work of the perjury of calculus goes to Newton but he was not able to publish his search and in 16thcentury Gottfried Leibniz make changes in this and finally calculus get published in the new paper.
Both Newton and Gottfried Leibniz thoughtof the fundamental concepts in very different ways. In the fundamental Newton taken variables changing with time, while on the other side Gottfried Leibniz considered variables x and y as ranging over sequences of infinitely close values. Gottfried Leibniz introduced dx and dy as discongruity between the following values of the sequence given. According to Gottfried Leibniz dm / dn defined the tangent while he did not use it as a defining property. While on the other side of the coin, according to Newton quantities n and m, where these were the finite velocities, to compute the tangent. Till this time both Newton and Gottfried Leibniz get idea in terms of functions, but they both thought in terms of graphs rather than functions. According to Newton calculus was geometrical representation on other side Gottfried Leibniz considered it as analysis.
The concept of differentiation is comes from the science of calculus. The differentiation is a part of calculus. Firstly this was developed in 17 th century and the developer were Gottfried Leibniz and Isaac Newton. Gottfried Leibniz ( 1646 - 1716 ) was a German mathematician and Isaac Newton ( 1642 - 1727 ) find the rate of change of any quantity with respect to time. This is the important part of mathematics and physics, chemistry, biology, computer science, engineering, navigation and astronomy. In the time of Newton and Leibniz, we cannot express the constantly changing of any quantity. So the main need that to understand the rate of change of any quantity with respect to time and analyze that quantity. So, Newton and Gottfried Leibniz developed differential calculus. Differentiation having so many applications in the field of science and engineering. Present days we use differentiation in analysis of finance and economics. There is a veryimportant application of differentiation that is the area of optimization. In the area of optimization we find the condition for maximum or minimum. It is an important factor in business like cost reduction, increase profit and in engineering like finding the maximum or minimum cost. This is the brief history of differentiation.
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