Apps of Differentiation

To see additional worked solutions to problems, visit Just Math Tutoring and click on the appropriate link.

IB ASL Math HMWK List

IB SL Math HMWK List

Tangents and Normals (HL Text Sec 19A; SL Text 16A)

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Increasing and Decreasing Functions and Stationary Points (HL Text Sec 19B-C; SL Text 16B-C)

Polynomials and Derivatives Wolfram Demonstration by: Ed Zaborowski (Franklin Road Academy)

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Inflections and Shape (HL Text Sec 19D; SL Text 16D)

Function Analysis Summary Video

Derivatives: A Look at Graphs Wolfram Demonstration by Abby Brown

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Kinematics (HL Text Sec 20A; SL Text 17A)

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Rates of Change  (HL Text Sec 20B; SL Text 17B)

No video for this section as it is an application of the derivative similar to that of kinematics.

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Optimization (HL Text Sec 20C; SL Text 17C)

The Greatest Fenced Area along a Barn Wolfram Demonstration by Nasri Abdel-Aziz

Minimizing the Surface Area of a Cylinder with a Fixed Volume Wolfram Demonstration by Chris Boucher

Tin Box with Maximum Volume Wolfram Demonstration by Roger B. Kirchner

The Wire Problem Wolfram Demonstration by Marc Brodie (Wheeling Jesuit University)

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Possible Exploration Topics:

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