2

Mean Value Theorems and Expansion of Functions

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 image 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:

  1. image called the left-hand derivative and denoted by f′(c – 0),
  2. image called ...

Get Engineering Mathematics now with O’Reilly online learning.

O’Reilly members experience live online training, plus books, videos, and digital content from 200+ publishers.