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Activity: Slopes and Derivatives
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Description: This activity demonstrates one of the many ways Sketchpad can be used in a calculus or math analysis class. Students manipulate a tangent line to a curve to investigate what it means for a curve to have slope. They explore the first derivative as a function which determines the slope of the curve for different values of x and express the derivative as a limit statement.
Technology Type: Sketchpad 
Author: for Technology and Teacher Education
Language: English 
Cost: Does not require payment for use

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Courses: Calculus Derivatives analytically, Slope of a curve at a point, Tangent line, Local linearity, Graph of f vs. f', Meaning of the sign of f'