God Created the Integers by Stephen Hawking

Author:Stephen Hawking
Language: eng
Format: epub
ISBN: 9780762432721
Publisher: Running Press
Published: 2022-05-31T00:00:00+00:00

SELECTION FROM OEUVRES COMPLÈTES D’AUGUSTIN CAUCHY

DIFFERENTIAL CALCULUS *

THIRD LECTURE[1]

DERIVATIVES OF FUNCTIONS OF ONLY ONE VARIABLE

Whenever the function y = f(x) remains continuous between two given limits of the variable x and a value contained between two given limits is assigned to this variable, an infinitely small increase made to the variable produces an infinitely small increase in the function itself. Consequently, if we set Δx = i the two terms of the ratio of the differences,[2]

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