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Worksheet
Curated OER

Partial Derivatives for a Function of Two Variables

For Students Higher Ed
For this partial derivatives worksheet, students complete one word problem by finding the (x,y) coordinates of a point when it moves parallel to one axis. When given a function, they find six partial derivatives. Students solve four...
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Worksheet
Curated OER

Multivariable Calculus/ Bonus Quiz 4, Partial Derivatives

For Students 11th - Higher Ed
In this math activity, students practice solving the problems that focus upon the concept of partial derivatives. The problems are in the form of a quiz.
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Worksheet
Curated OER

Multivariable Calculus: Application of Partial Derivatives

For Students Higher Ed
In this partial derivatives worksheet, students find formulas for the vector partial derivative of a function. They prove that an elliptic cone can be represented parametrically. This two-page worksheet contains explanations, examples,...
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Worksheet
Curated OER

Multivariable calculus: Partial Derivatives

For Students 11th - Higher Ed
In this partial derivative instructional activity, students calculate the derivative of given problems and find the equation of the tangent plane to an equation. This two-page instructional activity contains five problems.
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Worksheet
Curated OER

Math 212: Application of Partial Derivatives

For Students Higher Ed
For this partial derivatives worksheet, students find the equation of the tangent plane to a given surface, they compute functions, and sketch graphs of a tangent plane. This two-page worksheet contains three problems.
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Worksheet
Curated OER

The Geometric Interpretation of Partial Derivatives

For Students Higher Ed
In this partial derivative worksheet, students compute partial derivatives at a given point. They measure the slope tangent to the surface at the point. This one-page worksheet contains two multi-step problems.
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Worksheet
Curated OER

Practice Test: Derivatives

For Students 11th - 12th
In this derivatives worksheet, students identify the partial derivatives of a function, find the rate of change, and determine the maximum and minimum values of a function. This one-page worksheet contains 6 multi-step problems.
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Worksheet
Curated OER

Math 224 Spring 2004: Partial Derivatives

For Students Higher Ed
In this partial derivative worksheet, students find the equation of a tangent plane under given parameters and explore Clairault's Theorem. This two-page worksheet contains three problems.
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Worksheet
Curated OER

Practice Test for Midterm: Partial Derivatives

For Students 10th - 12th
In this partial derivatives worksheet, 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...
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Lesson Plan
Curated OER

Worksheet 20 - Derivatives

For Teachers Higher Ed
In this derivative worksheet, students solve functions, sketch the direction of the rate of change, and describe functions using polar coordinates. This two-page worksheet contains seven multi-step problems.
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Lesson Plan
Curated OER

Worksheet 23 - Directional Derivative

For Teachers Higher Ed
In this function worksheet, students compute the directional derivative of a function and identify the xy-coordinates of the maximum and local minimum. This two page worksheet contains six multi-step problems.
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Lesson Plan
Curated OER

Worksheet 25 - Chain Rule

For Teachers Higher Ed
In this chain rule worksheet, students use the chain rule and substitution to find partial derivatives. They identify total surface area, and find the distance from the origin to the plane. This one-page worksheet contains seven...
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Interactive
Curated OER

The Method of Integration by Partial Fractions

For Students 9th - 10th
For this calculus worksheet, students solve problems using integration by partial fractions. They add fractions to get a common denominator, then take the derivative. There are 20 questions with an answer key.
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Worksheet
Curated OER

The Second Derivative Test for Relative Extreme in Three Dimensional Space

For Students Higher Ed
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...
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Worksheet
Curated OER

Functions of Two Variables

For Students Higher Ed
In this functions worksheet, students solve one short answer (computation) problem. They answer one short essay question about the output variable (z). Students answer two short answer questions about surface graphs. Students find the...
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Lesson Plan
Curated OER

Worksheet 11 - Intervals

For Teachers Higher Ed
In this interval worksheet, students write a geometric series for the derivatives of a function. Students determine the values of x and where it may converge. This two-page worksheet contains five multi-step problems.
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Worksheet
Curated OER

Taylor Series

For Students 9th - Higher Ed
In this calculus worksheet, students solve various functions for the Taylor Series using a variety of solving methods including the double angle formula, partial fractions, and u substitution. There are 8 questions.
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Worksheet
Curated OER

Multivariable Calculus: The Jacobian Matrix

For Students Higher Ed
In this Jacobian matrix worksheet, students identify the derivative matrix of a function and use the tangent approximation to approximate vectors. This two-page worksheet contains six problems.
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Lesson Plan
Curated OER

Learning Vocabulary by Using Reference Materials

For Teachers 6th - 8th
Finding engaging ways to help your middle schoolers build their vocabulary is not easy to do. The lesson presented here offers a great way to motivate them to build vocabulary by making it into a game. Teams of pupils use a dictionary...
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Assessment
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Balanced Assessment

On Averages and Curves

For Students 11th - 12th
Determine the average on a curve. The class finds graphical representations of averages and expresses them both symbolically and on the graph. The assessment requires class members to justify using average to describe graphs.
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Worksheet
Curated OER

Multivariable Optimization

For Students Higher Ed
In this multivariable optimization instructional activity, students determine the local maximum and local minimum of given functions. They identify the critical points for given function and match contour plots to the proper functions....
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Worksheet
Curated OER

More on Least Squares

For Students 12th - Higher Ed
In this least squares worksheet, students solve 3 different problems that include determining the least squares of equations. First, they use the data given in the table to write out the normal equations a system of 2 equations in 2...
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Handout
Curated OER

Math Handbook: Calculus

For Students 10th - 12th
If only there was a reference that listed all the formulas covered in calculus. Luckily, there is. This comprehensive 197-page handbook provides formulas and explanations for all topics in AP Calculus or in a standard college calculus...
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Worksheet
Curated OER

Calculus Activity based on "The Simpsons"

For Students 12th - Higher Ed
In this calculus activity, students are provided with a translation of a scene from the Simpsons in which the teacher solves a calculus problem.  Students explain if her solution is correct. The one page activity contains two...

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