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Calculus: Derivatives Classroom ActivitiesDownload
Calculus_Concavity

Concavity

Examine the relationship between the first and second derivative and shape of a function.
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    TI-Nspire™ CX/CX II
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    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.
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    TI-Nspire™ CX/CX II
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    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.
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    TI-Nspire™ CX/CX II
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    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.
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    TI-Nspire™ CX/CX II
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    TI-Nspire™ CX CAS/CX II CAS
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Calculus_DerivativeFunction

Derivative Function

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

First Derivative Test

Visualize the connections between the first derivative of a function, critical points, and local extrema.
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    TI-Nspire™ CX/CX II
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    TI-Nspire™ CX CAS/CX II CAS
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07-14-2015 Image001

Graphical Derivatives

Apply knowledge of the graphical relationship between a function and its derivative.
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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.
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    TI-Nspire™ CX/CX II
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    TI-Nspire™ CX CAS/CX II CAS
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C_Inverse_Derivative_sm

Inverse Derivative

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

Local Linearity

Visualize the idea of derivative as local slope.
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    TI-Nspire™ CX/CX II
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    TI-Nspire™ CX CAS/CX II CAS
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Calculus_MeanValueTheorem

Mean Value Theorem

Calculate slopes of secant lines, create tangent lines with the same slope, and note observations about the functions and slopes.
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MVT_for_Derivatives

MVT for Derivatives

The MVT relates the average rate of change of a function to an instantaneous rate of change.
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    TI-Nspire™ CX/CX II
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    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.
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    TI-Nspire™ CX/CX II
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    TI-Nspire™ CX CAS/CX II CAS
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Calculus_SignOfTheDerivative

Sign of the Derivative

Make a connection between the sign of the derivative and the increasing or decreasing nature of the graph.
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Calculus_SlopeOfSecantLines

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.
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    TI-Nspire™ CX/CX II
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    TI-Nspire™ CX II
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C_Symmetric_Secant_sm

Symmetric Secant

Investigate the symmetric secant line to provide an estimate for the derivative of a function at a point.
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    TI-Nspire™ CX/CX II
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    TI-Nspire™ CX CAS/CX II 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.
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    TI-Nspire™ CX/CX II
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    TI-Nspire™ CX CAS/CX II CAS
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