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Calculus: Applications of the Derivative Classroom ActivitiesDownload

Velocity, Position, Distance

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Work with linked representations of the horizontal motion of an object.
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    TI-Nspire™ CX/CX II
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    TI-Nspire™ CX CAS/CX II CAS
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Profit Equations and Calculus

In this activity, students will discuss the graphical and algebraic relationships between a function and its first and second derivatives, namely a profit 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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C_Derivative_Analysis_sm

Derivative Analysis

Associate the verbal language of function behavior with characteristics of the graph of the 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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  • TI-Nspire™
  • TI-Nspire™ CAS
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Elevator: Height and Velocity

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Introduce ideas related to rectilinear motion.
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    TI-Nspire™ CX/CX II
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    TI-Nspire™ CX CAS/CX II CAS
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Fill the Urn ver 6 0

Filling the Urn

Work with linked representations of the related rates of change of volume and height of fluid.
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    TI-Nspire™ CX/CX II
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    TI-Nspire™ CX CAS/CX II CAS
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  • TI-Nspire™ CAS
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C_Higher_Order_Derivatives_sm

Higher Order Derivatives (CAS Tool)

Examine higher order derivatives using TI-Nspire Computer Algebra System (CAS).
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    TI-Nspire™ CX/CX II
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    TI-Nspire™ CX CAS/CX II CAS
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  • TI-Nspire™
  • TI-Nspire™ CAS
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C_Maximums_Minimums_Zeroes_sm

Maximums, Minimums, and Zeroes

Determine when a function has a maximum or minimum based on the derivative of the function.
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    TI-Nspire™ CX/CX II
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    TI-Nspire™ CX CAS/CX II CAS
  • TI-Nspire™ Apps for iPad®
  • TI-Nspire™ Navigator™
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C_Newtons_Method_sm

Newton's Method

Visually see the geometry and calculus behind Newton's Method.
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    TI-Nspire™ CX/CX II
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    TI-Nspire™ CX CAS/CX II CAS
  • TI-Nspire™ Navigator™
  • TI-Nspire™
  • TI-Nspire™ CAS
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C_Optimization_sm

Optimization

Students learn how to use the second derivative test to find maxima and minima in word problems and solve optimization in parametric functions.
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    TI-Nspire™ CX/CX II
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    TI-Nspire™ CX CAS/CX II CAS
  • TI-Nspire™ Navigator™
  • TI-Nspire™ CAS
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C_Relating_Rates_sm

Relating Rates

Students are given a situation of water draining out of a cylindrical tank in order to explain the process of solving related rates questions.
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    TI-Nspire™ CX/CX II
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    TI-Nspire™ CX CAS/CX II CAS
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  • TI-Nspire™ CAS
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Roller Coaster

Roller Coaster Ride

Students visualize why the first derivative test works and how it is used to determine local minima and maxima.
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17672

The Classic Box Problem - Calculus

The Box_Problem_Calculus.tns document takes a classic problem from calculus and uses the dynamic linking capabilities of TI-Nspire to enact the problem in multiple representations: diagramatic, graphic, numeric, geometric, and symbolic. The problem is posed on the title screen shown at the right.
  • ax-icon-color-device
    TI-Nspire™ CX/CX II
  • ax-icon-color-device
    TI-Nspire™ CX CAS/CX II CAS
  • TI-Nspire™
  • TI-Nspire™ CAS
Download3,581