Curated OER
The Second Derivative Test for Relative Extreme in Three Dimensional Space
In this second derivative worksheet, students determine the relative maximum and minimum values of given surfaces in three-dimensional space. They perform the second derivative test, and identify the partial derivatives. This one-page...
Curated OER
Worksheet 24 - Derivative
In this derivative worksheet, students identify second derivatives and find the directional derivative of a function. They also list the extremes and saddle points of a function. This one-page worksheet contains seven multi-step problems.
Curated OER
Applications of Derivatives: Finding Maxima and Minima
In this derivative worksheet, students use the second derivative test to determine the maxima and minima of given functions. They explore real life problems to complete the optimization of a problem. This two-page worksheet contains...
Curated OER
Applications of Derivatives: Concavity and Optimization
In this derivatives worksheet, students sketch the graph of a function by determining the local maxima, minima and inflection points. They graph a second function when given the interval. Students solve two word problems involving...
Curated OER
A.P. Calculus Test Covering Limits, Derivatives, and Integrals
In this calculus worksheet, students solve ten multiple-choice questions and eleven free-response questions covering limits, derivatives, and integrals. Students should have covered trig limits prior to this worksheet.
Curated OER
The Second Derivative Test for Relative Extrema in Three Dimensional Space
In this math worksheet, learners seek to find the relative maximum and minimum values of surfaces in three dimensional space for the function.
Curated OER
Practice Test for Midterm: Partial Derivatives
In this partial derivatives activity, students use Lagrange multipliers to find the maximum and minimum values of a given function. They find an equation of the tangent plane under given conditions and identify the second partial...
EngageNY
Wishful Thinking—Does Linearity Hold? (Part 2)
Trying to find a linear transformation is like finding a needle in a haystack. The second lesson in the series of 32 continues to explore the concept of linearity started in the first lesson. The class explores trigonometric, rational,...
Royal Society of Chemistry
Green Plastics—Chemistry Outreach
How do green plastics reduce waste and environmental pollution? Budding scientists create and test a variety of compounds used in green plastics during an insightful experiment. Beginning with startling statistics and ending with...
Curated OER
Finding the Extrema Graphically and Symbolically
In this extrema worksheet, students use the first derivative test and the second derivative test to determine the local extrema. They identify the local maximum and global maximum. This eight-page worksheet contains detailed...
Curated OER
Worksheet #5, Concavity,
In this calculus worksheet, students determine the intervals in which a given relation is concave up. They determine the inflection points of a given formula. Students use the second derivative test to classify the relative extrema of a...
Curated OER
Basic Calculus: Extrema, and Optimization: Putting it all Together
For this extrema and optimization worksheet, students identify all points in the domain and determine the critical points. They compute the second derivative and find the global maxima and minima. This two-page worksheet contains two...
EngageNY
When Can We Reverse a Transformation? 2
The second lesson on finding inverse matrices asks class members to look for a pattern in the inverse matrix and test it to see if it works for all matrices. The teacher leads a discussion to refine the process in finding inverses,...
EngageNY
Properties of Dilations
Investigate dilations to learn more about them. The second segment in a series of 16 provides a discussion of properties of dilations by going through examples. The problem set provides opportunities for scholars to construct dilations.
EngageNY
Locating Ordered Pairs on the Coordinate Plane
Four quadrants, four times the fun. Future mathematicians learn the terminology associated with the coordinate plane and how to plot points in all four quadrants. A worksheet tests their understanding of the material in the 16th...
Curated OER
Curve Sketching
In this calculus worksheet, students sketch a curve using a given function. They take the derivative of a function and graph it. There are 10 questions.
Curated OER
AP Calculus
In this calculus worksheet, students solve problems with trigonometric functions. They take the derivative and find the average rate of change.
Curated OER
Sixteen Multiple Choice AP Calculus AB Exam Practice Questions
In this AP Calculus AB Exam worksheet, students answer sixteen multiple choice questions in preparation for the AP Exam. These questions include many topics covered on the exam.
Curated OER
Curve Sketching
In this calculus worksheet, students identify the point of increase and decrease on a graph. They analyze the curve of a graph using the derivative. There are 10 open questions about derivatives.
Virginia Department of Education
Surface Area and Volume
Partners use materials to wrap three-dimensional objects to determine the formula for surface area. The groups use an orange to calculate the amount of peel it takes to completely cover the fruit. Using manipulatives, individuals then...
Curated OER
Optimization
Learners identify the critical points to a function. For this calculus lesson, students perform optimization of functions. They use the TI to create a visual of the graph.
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.