March 2012
Intermediate to advanced
604 pages
23h 58m
English
Content preview from Engineering Mathematics, Volume I, Second Edition
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2
Successive Differentiation, Mean Value Theorems and Expansion of Functions
2.1 SUCCESSIVE DIFFERENTIATION
Let f be a real-valued function defined on an interval [a, b]. Then, it is said to be derivable at an interior point c if 
exists. This limit, if exists, is called the derivative or the differential coefficient of the function at x = c and is denoted by f ′(c).
The above limit exists, if both the following limits exist and are equal:
called the left-hand derivative and denoted by f ′(c – 1),- called the right-hand derivative and denoted ...
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