Standard 3: Apply derivatives to solve problems.

General Information
Number: MA.912.C.3
Title: Apply derivatives to solve problems.
Type: Standard
Subject: Mathematics (B.E.S.T.)
Grade: 912
Strand: Calculus

Related Benchmarks

This cluster includes the following benchmarks.

Related Access Points

This cluster includes the following access points.

Related Resources

Vetted resources educators can use to teach the concepts and skills in this topic.

Perspectives Video: Experts

Velocity of the Aucilla River:

Harley Means discusses the mathematical methods hydrologists use to calculate the velocity of rivers.

Download the CPALMS Perspectives video student note taking guide.

Type: Perspectives Video: Expert

Remote Measurement of Ice Sheet Mass via Satellite:

Watch as Don Chambers explains the role of satellites in measuring the mass of ice sheets and the connections between ice sheet mass changes and sea level. Video funded by NSF grant #: OCE-1502753.

Download the CPALMS Perspectives video student note taking guide.

Type: Perspectives Video: Expert

Analyzing Antarctic Ice Sheet Movement to Understand Sea Level Changes:

In this video, Eugene Domack explains how past Antarctic ice sheet movement rates allow us to understand sea level changes. Video funded by NSF grant #: OCE-1502753.

Download the CPALMS Perspectives video student note taking guide.

Type: Perspectives Video: Expert

Tutorials

Absolute and Relative Minima and Maxima:

You will learn how to find the absolute and relative minima and maxima of functions.

Type: Tutorial

Identifying relative minimum and maximum values:

You will learn how to identify relative minimum and maximum values of functions.

Type: Tutorial

Concavity, concave upwards and concave downwards intervals:

You will learn how to find concavity, concave upwards and concave downwards intervals of functions, and how this relates to the second derivative of a function.

Type: Tutorial

Recognizing Concavity of Functions:

Learn how to recognizing concavity of functions.

Type: Tutorial

Inflection points of functions:

How to find inflection points of functions graphically and using the second derivaive.

Type: Tutorial

Graphing with Derivatives:

You will learn how to use the first and second derivatives to identify critical points and inflection points and to graph a logarithm function.

Type: Tutorial

Student Resources

Vetted resources students can use to learn the concepts and skills in this topic.

Tutorials

Absolute and Relative Minima and Maxima:

You will learn how to find the absolute and relative minima and maxima of functions.

Type: Tutorial

Identifying relative minimum and maximum values:

You will learn how to identify relative minimum and maximum values of functions.

Type: Tutorial

Concavity, concave upwards and concave downwards intervals:

You will learn how to find concavity, concave upwards and concave downwards intervals of functions, and how this relates to the second derivative of a function.

Type: Tutorial

Recognizing Concavity of Functions:

Learn how to recognizing concavity of functions.

Type: Tutorial

Inflection points of functions:

How to find inflection points of functions graphically and using the second derivaive.

Type: Tutorial

Graphing with Derivatives:

You will learn how to use the first and second derivatives to identify critical points and inflection points and to graph a logarithm function.

Type: Tutorial

Parent Resources

Vetted resources caregivers can use to help students learn the concepts and skills in this topic.