One-sided derivative
From Encyclopedia of Mathematics
A generalization of the concept of a derivative, in which the ordinary limit is replaced by a one-sided limit. If the following limit exists for a function 
of a real variable 
:
 |
then it is called the right (respectively, left) derivative of 
at the point 
. If the one-sided derivatives are equal, then the function has an ordinary derivative at 
. See also Differential calculus.
How to Cite This Entry:
One-sided derivative. G.P. Tolstov (originator), Encyclopedia of Mathematics. URL: http://www.encyclopediaofmath.org/index.php?title=One-sided_derivative&oldid=18307
One-sided derivative. G.P. Tolstov (originator), Encyclopedia of Mathematics. URL: http://www.encyclopediaofmath.org/index.php?title=One-sided_derivative&oldid=18307
This text originally appeared in Encyclopedia of Mathematics - ISBN 1402006098