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Calculus: Derivatives Classroom ActivitiesDownload

### Concavity

Examine the relationship between the first and second derivative and shape of a function.
• TI-Nspire™ CX/CX II
• TI-Nspire™ CX CAS/CX II CAS
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### Continuity and Differentiability 1

Explore piecewise graphs and determine conditions for continuity and differentiability.
• TI-Nspire™ CX/CX II
• TI-Nspire™ CX CAS/CX II CAS
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### Continuity and Differentiability 2

Explore piecewise graphs and determine conditions for continuity and differentiability.
• TI-Nspire™ CX/CX II
• TI-Nspire™ CX CAS/CX II CAS
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### Critical Points and Local Extrema

Visualize the connections between the critical points and local extrema.
• TI-Nspire™ CX/CX II
• TI-Nspire™ CX CAS/CX II CAS
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### Derivative Function

Transition from thinking of the derivative at a point to thinking of the derivative as a function.
• TI-Nspire™ CX/CX II
• TI-Nspire™ CX CAS/CX II CAS
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### Derivative Grapher

Visualize the relationship between the graph of a function and the graph of its derivative function.
• TI-Nspire™ CX/CX II
• TI-Nspire™ CX CAS/CX II CAS
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### First Derivative Test

Visualize the connections between the first derivative of a function, critical points, and local extrema.
• TI-Nspire™ CX/CX II
• TI-Nspire™ CX CAS/CX II CAS
• TI-Nspire™ Apps for iPad®
• TI-Nspire™
• TI-Nspire™ CAS
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### Graphical Derivatives

Apply knowledge of the graphical relationship between a function and its derivative.
• TI-Nspire™
• TI-Nspire™ CAS
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### Graphing Relationships

In this activity, students will examine the graphs of functions along with their derivatives and look for relationships that exist.
• TI-Nspire™ CX/CX II
• TI-Nspire™ CX CAS/CX II CAS
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### Inverse Derivative

Visualize the reciprocal relationship between the derivative of a function and the derivative of its inverse.
• TI-Nspire™ CX/CX II
• TI-Nspire™ CX CAS/CX II CAS
• TI-Nspire™
• TI-Nspire™ CAS
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### Local Linearity

Visualize the idea of derivative as local slope.
• TI-Nspire™ CX/CX II
• TI-Nspire™ CX CAS/CX II CAS
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### Mean Value Theorem

Calculate slopes of secant lines, create tangent lines with the same slope, and note observations about the functions and slopes.
• TI-Nspire™
• TI-Nspire™ CAS
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### MVT for Derivatives

The MVT relates the average rate of change of a function to an instantaneous rate of change.
• TI-Nspire™ CX/CX II
• TI-Nspire™ CX CAS/CX II CAS
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### Second Derivative Grapher

Visualize the relationship between the graph of a function and the graph of its second derivative.
• TI-Nspire™ CX/CX II
• TI-Nspire™ CX CAS/CX II CAS
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### Sign of the Derivative

Make a connection between the sign of the derivative and the increasing or decreasing nature of the graph.
• TI-Nspire™
• TI-Nspire™ CAS
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### Slopes of Secant Lines

Collect data about the slope of a secant line and then predict the value of the slope of the tangent line.
• TI-Nspire™ CX/CX II
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### Symmetric Secant

Investigate the symmetric secant line to provide an estimate for the derivative of a function at a point.
• TI-Nspire™ CX/CX II
• TI-Nspire™ CX CAS/CX II CAS
• TI-Nspire™
• TI-Nspire™ CAS
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### Investigating the Derivatives of Some Common Functions

In this activity, students will investigate the derivatives of sine, cosine, natural log, and natural exponential functions by examining the symmetric difference quotient at many points using the table capabilities of the graphing handheld.
• TI-Nspire™ CX/CX II
• TI-Nspire™ CX CAS/CX II CAS
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