Differentiation is a fundamental calculus tool used to determine the rate at which something changes. By using the binomial theorem, you can simplify complex expressions before differentiating them.

1. Introduction The relationship between integration and differentiation is central to calculus, formalized through the fundamental theorem of calculus. Traditionally, integrals are taught as ...

Bennett Eisenberg, Rosemary Sullivan, The Fundamental Theorem of Calculus in Two Dimensions, The American Mathematical Monthly, Vol. 109, No. 9 (Nov., 2002), pp. 806-817 ...

Newton and Leibniz independently developed the fundamental principles of calculus in the late 17th century. Newton’s work focused on physics applications, while Leibniz approached it from a more ...

Michael W. Botsko, Richard A. Gosser, Stronger Versions of the Fundamental Theorem of Calculus, The American Mathematical Monthly, Vol. 93, No. 4 (Apr., 1986), pp ...

A state predictor control scheme is presented in this paper. The predictor is based on the Fundamental Calculus Theorem and its stability analysis is proved using the Backstepping approach. The ...