intro post

derivative of technology

noun. Also called: differential coefficient.

Let  be a function. If, given  in the interior of  , the limit

(1)


exists, then the derivative or differential coefficient of  at the point  is defined to the value of that limit. As an alternative to (1), the limit

may be used.The value of the derivative at  in the interior of  is variously denoted

The function  is the derivative of the function  .

Bibliography

Howie, J. M. (2001),
Real Analysis, Springer Undergraduate Mathematics Series, Springer-Verlag London Ltd., London. [ Amazon.com | Amazon.co.uk ]
Weisstein, E. (2005),
World of Mathematics, http://mathworld.wolfram.com/.