In classic calculus increasing functions are considered. The idea of increasing is connected with an interval. In this article the idea of increasing function is connected with a point and some neighbourhood of the point. It is defined as an increasing point of the function. This is proved by the theorem: if each point of an interval is a point of increasing a function then the function is increasing at an interval.
JavaScript is turned off in your web browser. Turn it on to take full advantage of this site, then refresh the page.