Differentiation

Mangatiana A. Robdera
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Mangatiana A. Robdera: Al Akhawayn University, School of Science and Engineering

Chapter 5 in A Concise Approach to Mathematical Analysis, 2003, pp 123-144 from Springer

Abstract: Abstract Let y = f (x) be a real function defined in a certain interval (a, b). Suppose that the value of the argument changes from x to x + h in the interval. Then the value of the function will change from f (x) to f (x + h). Thus a change Δx = (x + h) - x of the argument brings about a change $$\Delta f(x) = f(x + h) - f(x) $$ of the value of the function. See Figure 5.1. Using such notation, we can rewrite the definition of a continuous function as follows.

Keywords: Mathematical Analysis; Real Function; Open Interval; Difference Quotient; Concise Approach (search for similar items in EconPapers)
Date: 2003
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DOI: 10.1007/978-0-85729-347-3_5

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