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Coping with the derivative of an atypical representation of a common function

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PROCEEDINGS OF THE 20TH ANNUAL CONFERENCE ON RESEARCH IN UNDERGRADUATE MATHEMATICS EDUCATION

2017

San Diego, California

Coping with the derivative of an atypical representation of a common function

Page: 1649

250 calculus students were asked to evaluate f′(2) when f(x) = x3 if x = 2 and f(x) = 8 if / x = 2. Responses were coded, and eight students were interviewed about their answers. The data provide insight into students’ understandings of function, derivative, and graph.

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