Differentiation Exercise

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This interactive resource, produced by the University of Leicester, is designed to enable students to explore the differential function of a polynomial and conclude by forming a generalisation.

An instruction page explains to students that they should draw a polynomial. Then by sliding the slider the gradient of the curve is plotted, on the same axis, for a sequence of x-values. Students are then required to fit a curve to the plotted points hence finding the equation of the differential function. Once the exercise has been repeated several times, in a strategic manner, students are expected to generalise their results.

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