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PPT
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Calculus 3.6 - The Chain Rule

For Teachers 11th - 12th
Greg Kelly puts together another great slide presentation to demonstrate ways to combine derivative rules to evaluate more complicated functions. This pattern is called the chain rule.  He shows step by step ways to solve these...
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Worksheet
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Calculus Worksheet

For Students 12th - Higher Ed
For this calculus worksheet, students solve 10 different problems that include determining the first derivative in each. First, they apply properties of logarithmic functions to expand the right side of each equation. Then, students...
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Lesson Plan
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Worksheet 17-Fall 1995

For Teachers Higher Ed
In this math worksheet, students find y' both implicitly and explicitly for given relations. They find y' using implicit differentiation for a given relation. Students prove the Pythagorean Theorem
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Lesson Plan
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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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Lesson Plan
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Integration by Substitution

For Teachers 11th - Higher Ed
Looking for help in introducing integration by substitution to your calculus students?  Here is a lesson that walks a learner through a review of the change rule, and then by starting with more recognizable derivatives, it helps them...
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Lesson Plan
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Matter and Motion 3

For Teachers 11th - Higher Ed
In this matter and motion worksheet, students solve 3 different types of problems that relate to the chain rule for multivariable functions. First, they find the rate of increase of the volume of a can and the rate of increase of the...
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Worksheet
Curated OER

Sudoku Puzzle with Derivatives

For Students 10th - 12th
In this Sudoku puzzle worksheet, students use basic derivative formulas, the chain rule and implicit differentiation to solve given problems.  This six-page worksheet contains 26 problems. Answers are provided on the last page.
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Worksheet
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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

Derivatives of Inverse Functions

For Students Higher Ed
In this derivatives learning exercise, students use the chain rule to show equalities between functions. They read a tutorial that guides them through the process of using the chain rule to find derivatives. This learning exercise...
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Worksheet
Curated OER

The Chain Rule

For Students 12th - Higher Ed
In this calculus worksheet, learners are given 21 short-answer problems regarding the "chain rule", derivatives, rate of change and completing tables.
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Interactive
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Inverse Trig Functions: Chain Rule

For Students 9th - Higher Ed
In this trigonometric functions worksheet, students differentiate inverse trigonometric functions using the chain rule. There are 15 questions.
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Worksheet
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The Little Prince and his Pendulum

For Students Higher Ed
In this function worksheet, students read a fairy tale about a prince on a tiny planet. They explore the length of a pendulum and gravitational acceleration. Students use the multi-variable change rule to compute the rate of change. ...
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Worksheet
Curated OER

Implicit Differentiation

For Students Higher Ed
For this implicit differentiation worksheet, students use the chain rule to solve for the derivative. The find the equation for the tangent line at a given point and determine if the line is vertical. This two-page worksheet contains...
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Worksheet
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The Chain Rule and Applications

For Students Higher Ed
In this chain rule worksheet, students use the chain rule to differentiate compositions, and determine the value of the limits. They give reasons justifying each step of the chain theorem. This six-page worksheet contains theorems,...
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Worksheet
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Trigonometric Examples of Integration by Substitution

For Students Higher Ed
In this integration worksheet, students use trigonometric identity and integration by substitution to solve given integrals. This two-page worksheet contains three problems.
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Worksheet
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Implicit Differentiation

For Students Higher Ed
In this implicit differentiation worksheet, students solve problems using the chain rule and implicit differentiation. They explain the differences between the chain rule and the implicit differentiation. This two-page worksheet...
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Worksheet
Curated OER

Composition of Functions and the Chain Rule

For Students Higher Ed
In this function worksheet, students determine the natural domain and range for functions and formulas. They identify the composition of two functions and complete the derivation of the quotient rule. This three-page worksheet contains...
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Worksheet
Curated OER

Implicit Differentiation

For Students Higher Ed
In this implicit differentiation activity, students use the microscope approximation method and Euler's method to approximate values at a given point. This two-page activity contains five problems.
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Worksheet
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Related Rates Problems: An Application of Implicit Differentiation and the Chain Rule

For Students Higher Ed
In this related rates problem instructional activity, students use the chain rule and implicit differentiation to solve related rate problems, such an writing an expression relating to the ripple of a circle. This three-page...
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Worksheet
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More Integral Exchange: Integration By Parts

For Students Higher Ed
For this integration worksheet, students explore methods of integration and explore integration by substitution. This two-page worksheet contains examples, explanations, and six multi-step problems.
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Lesson Plan
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Parametric Equations

For Teachers 9th - 12th
Students investigate the concept of parametric equations and practice taking the derivatives and then the Quotient Rule is proven. They prove the Quotient Rule while using the Chain Rule with the examples given in the lesson for direct...
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Lesson Plan
Curated OER

The Chain Rule

For Teachers 11th - 12th
Students determine the derivative of a function.  In this determining the derivative of a function lesson, students use the chain rule to find the derivative of the function.  Students use the chain rule to take the derivative of each...
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Worksheet
Curated OER

Worksheet #3, Derivative Rates, Percent Rate of Change, Chain Rule

For Students 10th - 11th
In this calculus activity, students answer compute the distance of an object from a given point after t seconds when given the formula. They use the chain rule to answer 2 questions. Students compute the derivatives and sketch a graph of...