@inbook{10.2307/j.ctt7t8q5.17, ISBN = {9780691141343}, URL = {http://www.jstor.org/stable/j.ctt7t8q5.17}, abstract = {When Newton and Leibniz developed their new calculus, they applied it primarily toalgebraic curves,curves whose equations are polynomials or ratios of polynomials. (Apolynomialis an expression of the form${a_n}{x^n} + {a_{n - 1}}{x^{n - 1}} + ... + {a_1}x + {a_0};$the constants${a_1}$are thecoefficients,and$n$, thedegreeof the polynomial, is a non-negative integer. For example,$5{x^3} + {x^2} - 2x + 1$is a polynomial of degree 3.) The simplicity of these equations, and the fact that many of them show up in applications (the parabola$y = {x^2}$is a simple example), made them a natural choice for testing the new methods of the calculus. But in applications one also}, bookauthor = {Eli Maor}, booktitle = {"e": The Story of a Number}, pages = {98--108}, publisher = {Princeton University Press}, title = {${e^x}$: The Function That Equals Its Own Derivative}, year = {1994} }