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Curated OER
Analyze This Function
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...
Curated OER
Functions of Two Variables
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...
Curated OER
Critical Points
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.
EngageNY
Graphing Factored Polynomials
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.
Curated OER
Applications of Derivatives: Finding Maxima and Minima
In this calculus worksheet, students are given 10 short-answer problems regarding functions, derivatives, minima, maxima and extremes.
Curated OER
Introduction to Tangent Lines using the TI-Nspire
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.
Curated OER
Applying Trigonometric Functions To Real Life
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.
Curated OER
Engineering in a Calculus Classroom
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.
Curated OER
Application of Differentiation: Optimization
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...
Curated OER
Applications of Derivatives: General Rules for Optimization
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.
Cool Math
Coolmath: Graphing Polynomials Absolute Maximums and Minimums
This algebra lesson explains how to find the absolute maximums and minimums (extrema) of a polynomial.
Texas Instruments
Texas Instruments: Functions and Their Extrema
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...
Cool Math
Coolmath: Graphing Polynomials Maximums and Minimums
Find out how to find relative minimums and maximums of the typical polynomial.
Cool Math
Coolmath: Pre Calculus Maximums and Minimums: Finding Relative Extrema
This CoolMath resource will help students find relative extrema.
Lawrence Hall of Science
The Math Page: An Approach to Calculus: Applications of Maximum and Minimum Values
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...
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Funcion Derivada
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.
Wolfram Research
Wolfram Math World: First Derivative Test
This MathWorld site shows how to find extrema using the first derivative test.
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Applications of Derivatives
Hotmath provides 25 practice problems dealing with derivative applications. Each of the practice problems include a step-by-step guide.