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Leonid N. Vaserstein (2006), "Linear Programming", in Leslie Hogben, ed., Handbook of Linear Algebra, Discrete Mathematics and Its Applications, Chapman and Hall/CRC, chap. 50. ISBN 1-584-88510-6 Newton provided some of the most important applications to physics, especially of integral calculus. The purpose of this section is to examine Newton and Leibniz’s investigations into the developing field of infinitesimal calculus. The Newton–Leibniz approach to infinitesimal calculus was introduced in the 17th century. While Newton worked with fluxions and fluents, Leibniz based his approach on generalizations of sums and differences. ^ Boyadzhiev, Khristo N. "Hyperbolic Substitutions for Integrals" (PDF) . Retrieved 4 March 2013. In calculus, a derivative test uses the derivatives of a function to locate the critical points of a function and determine whether each point is a local maximum, a local minimum, or a saddle point.

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