This paper presents new trends in technology and learning through Geogebra, which could be especially important for the future development of e-learning for College mathematics. Also, contribution of this paper is presentation of methodological frames on several specifics examples for teaching mathematics at the college level on interactive and creative way. Discussed in this paper are the findings of a didactic experiment where some number of undergraduate students were exposed to an innovative (to the departments) method of teaching and learning a part of calculus supported by GeoGebra. Statistical analysis confirmed the fact that the use of the applets created with the help of GeoGebra and used in differential calculus teaching had a positive effect on the understanding and knowledge of the students.