The focus of the teaching topic "Derivative of a function" is both on the theoretical facts and problems on the functions and problems that are introduced in analytical form. However, in situations which are not only of analytical but also of graphic properties, it is affirmed that students are not able to apply their acquired knowledge. This discrepancy between the analytic and graphic, is also emphasized by the types of problems and requirements provided for students. They are largely only analytical.

The way to overcome this discrepancy is to employ cognitive-visual approach to the study of derivative of a  function applying visualized problems (problems which explicitly or implicitly include the image: in the very formulation of the problem, the way of solving it or in the end result) .

This paper presents a new set of problems in which based on the assigned functions the properties of derivational functions are discussed, or vice versa. The precept of the problem comprises the one given in analytical records, and the other in the form of graphic. Problems visualized in this way enable the development and the use of visual thinking and the accomplisment of functional interdependence of graphic and analytical forms.