David O. Tall
Abstract
The differential triangle of Leibniz for a real function f is found by taking an increment dx in the variable x , finding the corresponding increment dy in y = f(x) and drawing the ‘triangle’ in Fig. 1. Here ds is the increment in the length of the graph, where and the derivative of f is
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The differential triangle of Leibniz for a real function f is found by taking an increment dx in the variable x , finding the corresponding increment dy in y = f(x) and drawing the ‘triangle’ in Fig. 1. Here ds is the increment in the length of the graph, where and the derivative of f is
Key concepts: Infinitesimal, Graph, Mathematics, Combinatorics, Differential (mechanical device), Function (biology), Physics, Geometry