Newton was familiar with the meth- ods that these men used to find tangent lines, and their methods played a role in Newton’s eventual formulation of calculus.

The following references contain explanations of these methods. Read one or more of the references and write a report comparing the methods of either Fermat or Barrow to modern methods. In particular, use the method of Section 2.7 to find an equation of the tangent line to the curve yx+2x at the point (1, 3) and show how either Fermat or Barrow would have solved the same problem. Although you used derivatives and they did not, point out similarities between the methods.
1. Carl Boyer and Uta Merzbach, 4 History of Mathematics (New York: Wiley, 1989),pp 389,432
2. C. H.Edwards, The Historical Development of the Calculus (New York: Springer-Verlag. 1979 oo. 124,132
3. Howard Eves, An Introduction to the History of Mathematics, 6th ed. (New York: Saunders, 1990, pp. 391,395
4. Morris Kline, Mathematical Thought from Anciento Modern Times (New York: Oxford University Press, 1972), pp. 344, 346

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