This work was conceived with the aim of supporting the learning process of those students who are taking their first steps in the area of calculus. The development of the solved exercises present a series of novel characteristics that facilitate the understanding of the student, among some of them are: 1. The incorporation of a column in the right margin of the resolution of the exercises where the mathematical operation used is briefly explained in each step; 2. Some exercises were solved by two different procedures to show the reader the variety of alternatives they can use to address a derivative problem; 3. The steps required for the resolution of an exercise was carried out gradually trying to avoid simplifications and breaking down the derivative operations so that after performing them they are regrouped obtaining the final answer. All these characteristics in the design and development of the text make it an ideal tool to achieve independent learning by the student or cooperatively with their fellow students.
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