Worksheet
Curated OER

More on Limits, Graph Sketching, and L'Hopital's Rule

For Students Higher Ed
In this limits worksheet, students compute the answers to thirteen limits problems. They answer one short answer question. Students follow listed steps to simplify two limits problems. Students answer three short answer questions about a...
Worksheet
Curated OER

Multivariable Calculus: Extrema of Multivariable Functions

For Students Higher Ed
In this multivariable function worksheet, students determine the extrema of multivariable functions, classify critical points, and solve functions with given boundaries. This two page worksheet contains five multi-step problems as well...
Worksheet
Curated OER

Basic Calculus: Extrema, and Optimization: Putting it all Together

For Students Higher Ed
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...
Lesson Plan
West Contra Costa Unified School District

The Extreme Value Theorem

For Teachers 11th - Higher Ed
Finding the critical numbers of a function can be extreme. The lesson introduces the Extreme Value Theorem to the class with a graph. Pupils then have an opportunity to practice determining the values using an algebraic function.
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.
Worksheet
Curated OER

Applications of First and Second Derivatives.

For Students 12th - Higher Ed
In this calculus instructional activity, students solve for the critical values, open intervals and find the maximum and minimum. There are 7 questions dealing with the derivative.
Worksheet
Curated OER

Graphs and Derivatives

For Students 9th - 12th
In this graphs and derivatives worksheet, students graph the derivative of a function. They find the intervals and identify the maximum and minimum. This one page worksheet contains three multi-step problems.
Worksheet
Curated OER

Worksheet 22-Fall 1995

For Students 11th - Higher Ed
In this math activity, students examine the graph of the derivative. Then they determine the critical points that correspond to the relative extrema.
Worksheet
Curated OER

Discussion Sheet 3: Function

For Students Higher Ed
In this function worksheet, students compute functions, classify critical points and determine the absolute extrema for an indicated region. This one-page worksheet contains approximately nine multi-step problems.
Worksheet
Curated OER

Linear Approximation

For Students 9th - 11th
For this algebra worksheet, learners solve problems using estimation and the derivative. They calculate the critical points, domain and indicated intervals. They calculate the first and second derivative. There are 5 problems.
Worksheet
Curated OER

Worksheet #5, Concavity,

For Students 11th - 12th
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...
Worksheet
Curated OER

Working with Rates of Change

For Students 8th - 12th
In this calculus worksheet, students problem solve 8 word problems involving rates of change in association with high school students. Students work out each problem and give a short explanation of each answer.
Worksheet
Curated OER

Application of Differentiation: Optimization

For Students Higher Ed
In 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...