PROCEEDINGS OF THE 22ND ANNUAL CONFERENCE ON RESEARCH IN UNDERGRADUATE MATHEMATICS EDUCATION
2019
Oklahoma City, Oklahoma
Making implicit differentiation explicit
Page: 792
This paper discusses the conceptual basis for differentiating an equation, an essential aspect of implicit differentiation. We explain that implicit differentiation is more than merely the procedure of differentiating an equation and carefully provide a conceptual analysis of what is entailed in understanding the legitimacy of this procedure. This conceptual analysis provides a basis for discussion of the literature, as well as empirical justification for the importance of this topic.