Derivatives: Calculus: TI Math Nspired

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Derivatives

The derivative is one of the “big ideas” in calculus – capturing the notion of instantaneous rate of change and generalizing the idea of slope to more general curves. The lessons in this unit are intended to provide a strong foundation for student understanding of the derivative, especially in terms of graph. The use of the derivative as a tool for understanding behavior of functions and the implications of differentiability are also emphasized.

Calculus: Derivatives Activities

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Title
Symmetric Secant Investigate the symmetric secant line to provide an estimate for the derivative of a function at a point. Standards \| Textbook	4681	19
Local Linearity Visualize the idea of derivative as local slope. Standards \| Textbook	4783	13
Derivative Function Transition from thinking of the derivative at a point to thinking of the derivative as a function. Standards \| Textbook	5298	18
Derivative Grapher Visualize the relationship between the graph of a function and the graph of its derivative function. Standards \| Textbook	5141	15
Critical Points and Local Extrema Visualize the connections between the critical points and local extrema. Standards \| Textbook	5255	19
First Derivative Test Visualize the connections between the first derivative of a function, critical points, and local extrema. Standards \| Textbook	4902	16
Continuity and Differentiability 1 Explore piecewise graphs and determine conditions for continuity and differentiability. Standards \| Textbook	4815	14
MVT for Derivatives The MVT relates the average rate of change of a function to an instantaneous rate of change. Standards \| Textbook	4722	15
Second Derivative Grapher Visualize the relationship between the graph of a function and the graph of its second derivative. Standards \| Textbook	4681	14
Inverse Derivative Visualize the reciprocal relationship between the derivative of a function and the derivative of its inverse. Standards \| Textbook	4678	15

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