Worksheet
Curated OER

Analyze This Function

For Students 11th - 12th
In this derivatives worksheet, learners solve 11 short answer and graphing problems. Students find inflection points, increasing and decreasing intervals, maximums and minimums, and graph an exponential derivative. Learners use the...
Worksheet
Curated OER

Functions of Two Variables

For Students Higher Ed
In this function of two variables worksheet, students explore the relationship between the derivatives of a function and the shape of the graph. They determine the maximum and minimum value using optimization. Students find the...
Lesson Plan
Curated OER

Critical Points

For Teachers 9th - 12th Standards
High schoolers identify critical points on a graph. For this calculus lesson, students graph their equations on the TI calculator. They zoom in and out to identify the critical points.
Lesson Plan
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EngageNY

Graphing Factored Polynomials

For Students 10th - 12th Standards
Young mathematicians graph polynomials using the factored form. As they apply all positive leading coefficients, pupils demonstrate the relationship between the factors and the zeros of the graph.
Worksheet
Curated OER

Applications of Derivatives: Finding Maxima and Minima

For Students 12th - Higher Ed
In this calculus worksheet, students are given 10 short-answer problems regarding functions, derivatives, minima, maxima and extremes.
Lesson Plan
Curated OER

Introduction to Tangent Lines using the TI-Nspire

For Teachers 9th - 11th
Students make mathematical argument using the concept of Limit. In this algebra lesson, student calculate the instantaneous rate of change from the linear graph. They use a TI-calculator to create a visual of the graphs.
Lesson Plan
Curated OER

Applying Trigonometric Functions To Real Life

For Teachers 9th - 11th
Students examine where trigonometry exists outside the classroom. For this trigonometry lesson, students create trigonometric functions to match the data provided and to solve word problems relating to the real world.
Lesson Plan
Curated OER

Engineering in a Calculus Classroom

For Teachers 11th - 12th
Pupils solve several differential equations. In this calculus lesson, students test their modulus calculation by testing different weights or beam lengths. They share their findings in class.
Worksheet
Curated OER

Application of Differentiation: Optimization

For Students Higher Ed
For this optimization worksheet, students complete a table identifying the characteristics of a function and it's derivative and provide an illustration of each type of function. Afterward, they use the first derivative test for finding...
Worksheet
Curated OER

Applications of Derivatives: General Rules for Optimization

For Students Higher Ed
In this minima and maxima worksheet, students find the global and local maxima and minima of one function. They work in small groups to solve one optimization problem. Steps for solving are listed on the page.
Activity
Cool Math

Coolmath: Graphing Polynomials Absolute Maximums and Minimums

For Students 7th - 9th Standards
This algebra lesson explains how to find the absolute maximums and minimums (extrema) of a polynomial.
Activity
Texas Instruments

Texas Instruments: Functions and Their Extrema

For Teachers 9th - 10th
Model the trajectory of the longest home run ever hit while studying extrema of functions on the TI-89. Another real-world problem in this activity involves minimizing the amount of tin used in a cylindrical tank. Following the worked...
Activity
Cool Math

Coolmath: Graphing Polynomials Maximums and Minimums

For Students 6th - 8th
Find out how to find relative minimums and maximums of the typical polynomial.
Website
Cool Math

Coolmath: Pre Calculus Maximums and Minimums: Finding Relative Extrema

For Students 9th - 10th
This CoolMath resource will help students find relative extrema.
Activity
Lawrence Hall of Science

The Math Page: An Approach to Calculus: Applications of Maximum and Minimum Values

For Students 9th - 10th
Here is a site that clearly and thoroughly explains how to solve applied max/min problems using the first derivative. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point this...
Activity
Ministry of Education and Universities of the Region of Murcia (Spain)

Ministerio De Educacion Y Ciencia: Funcion Derivada

For Students 9th - 10th Standards
In Spanish. Learn with these interactive exercises the concept of the derivative of a function, calculate tangents to a curve and maximum and minimum values of functions.
Handout
Wolfram Research

Wolfram Math World: First Derivative Test

For Students 9th - 10th
This MathWorld site shows how to find extrema using the first derivative test.
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Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Applications of Derivatives

For Students 9th - 10th
Hotmath provides 25 practice problems dealing with derivative applications. Each of the practice problems include a step-by-step guide.