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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.
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Worksheet
Curated OER

Worksheet 15 Computer Lab

For Students 11th - Higher Ed
In this math worksheet, learners discuss the natural frequency ω0 of the system and how it is the number of oscillations of the spring in 2π units of time.
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Worksheet
Curated OER

Learning the Anti-differentiation Process

For Students 11th - Higher Ed
In this math worksheet, students examine the data table and attempt to fill in the empty boxes for the functions. They are asked to list the pattern found there.
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Worksheet
Curated OER

Multivariable Calculus: Conservative Vector Fields

For Students Higher Ed
In this vector field worksheet, students explore the properties of conservative vector fields. They solve problems for a given field. This two-page worksheet contains explanations, examples and five equations.
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AP Test Prep
College Board

Extrema

For Teachers 10th - 12th
No need to go to extreme lengths to find resources on extrema. The central focus of an AP® curriculum module is on critical points and extrema, and how to cover these concepts throughout the course. A set of three worksheets helps assess...
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Lesson Plan
Curated OER

Zeros of a Cubic

For Teachers 9th - 12th Standards
Mathematicians explore cubic functions by learning how to investigate the relationship between the x-coordinates of the three zeros of a cubic function.  The lesson also contains an application of differentiation. 
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Lesson Plan
Curated OER

Rules For Differentiation

For Teachers 9th - 12th
Students investigate the concepts related to derivatives tat include the Power Rule and then apply the appropriate derivative formula to solve the different problems. They practice reading the rules of derivatives included in the lesson...
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Lesson Plan
Curated OER

Roller Coaster Robot

For Teachers 10th - 12th
Young scholars calculate the area under a curve. In this calculus lesson plan, students use Riemann sums to find and approximate the area under a curve. They use the derivative and differential equations to solve.
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Lesson Plan
Curated OER

Euler's Method

For Teachers 9th - 12th Standards
Learners identify Euler's method of graphing in this calculus activity. They approximate values of a function and check their work using EM. They also differentiate equations at an exact point.
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Worksheet
Curated OER

Worksheet 1

For Students 11th - Higher Ed
In this math worksheet, students give an example of a function which is continuous but not differentiable. They also write a definition for differentiable.
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Lesson Plan
Curated OER

Simple Harmonic Motion

For Teachers 10th - 12th
Students solve problems involving graphs. In this calculus lesson plan, students relate harmonic motion to velocity. They discuss the derivative and the effect on the functions created.
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Lesson Plan
Curated OER

Secant Line Approximation of the Tangent Line

For Teachers 9th - 11th
Pupils perform operation with secant and tangent lines. In this calculus lesson, students find the derivative and relate it to the slope of a line. They differentiate between secant and tangent as they intersect a circle, using Cabri.
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Lesson Plan
Curated OER

What is an Antiderivative? Slope Fields

For Teachers 10th - 12th
Students take the derivative of a function. In this calculus lesson, students define slope fields and what they are used for. They relate slope fields to the real world.
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Worksheet
Curated OER

Math 155 Worksheet 7

For Students Higher Ed
In this college level Calculus worksheet, students use implicit differentiation to find dx/dy or the rate of change.  The two page worksheet contains six problems.  Answers are not included. 
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Worksheet
Curated OER

Find the Average Value of a Function

For Students 11th
In this calculus learning exercise, 11th graders calculate the average value of a function. They find the line tangent to a curve and graph the equation. There are 15 questions.
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Worksheet
Curated OER

Average Value of a Function

For Students 12th
In this calculus worksheet, 12th graders calculate the line tangent to a curve and find the average value of a function. There are 12 questions.
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Lesson Plan
Curated OER

Product Rule

For Teachers 11th - Higher Ed
Students define the product rule and use it to solve problems. In this calculus lesson plan, students review rules they learned and memorize the new rules as it relates to derivatives. They solve problems through differentiation by...
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Worksheet
Curated OER

Worksheet 3

For Students 11th - Higher Ed
For this math worksheet, students calculate the indefinite integrals. They also find the differential functions. Finally social diffusion is used to describe how information is passed through a sample population.
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Worksheet
Curated OER

Worksheet 18 Fall 1995

For Students 11th - Higher Ed
For each of the equations they find the values of the rational expressions. Then they differentiate each expression in relation to the value of t.
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Worksheet
Curated OER

Hyperbolic Functions

For Students 11th - 12th
Students evaluate6 functions. They prove three identities and solve four differential problems. THere are 13 problems total.
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Lesson Plan
National Security Agency

Multiple Representations of Limits

For Students 11th - 12th Standards
After an introductory activity to demonstrate the theory of a limit, additional activities approach a limit from graphical, numerical, and algebraic methods. The activity looks at the multiple ways of understanding and evaluating a limit. 
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Interactive
CK-12 Foundation

Antiderivative: Piecing it Together

For Students 11th - Higher Ed
Build a function backwards. Given a graph of the derivative of a function, pupils piece together a graph of the original function, the antiderivative. Learners use their graphs and the graphs of the derivatives to answer questions about...
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Interactive
CK-12 Foundation

Constant, Identity, and Power Rules: Power Rule

For Students 11th - Higher Ed
Learn to gain power in finding derivatives. The resource introduces the power rule. Using the sliders in the interactive, pupils create polynomial functions and find their derivatives. Given the derivative of a polynomial, learners...
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Interactive
CK-12 Foundation

Chain Rule

For Students 11th - Higher Ed
Keep it on the chains. Pupils work through the steps in the chain rule using the interactive as a guide. Learners identify the two composed functions and their associated derivatives from a set of choices. They continue on to build the...