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One-to-One Functions; Inverses

For Students 10th - 12th
In this functions worksheet, students determine whether or a function is one-to-one. If it is one-to-one, then they find the inverse.
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Test Chapter 5: Intervals

For Students 10th - 12th
In this interval worksheet, learners identify the largest interval for a given situation.   They explore and explain functions, their derivative, relative maximum, and relative minimum.  Students graph functions and...
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Calculate Values of Functions Given a Table of Values and Their Derivatives

For Students 11th - Higher Ed
In this functions and derivatives worksheet, learners calculate values of a function given a tables of values of functions and the derivatives at specified values. 
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Derivative

For Students 10th - Higher Ed
In this derivative worksheet, learners determine the derivative and then find the value at a specified point for a given function. There are 3 questions.
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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Derivative Exam

For Students 10th - 12th
In this derivatives activity, students find the first derivative of 30 equations. Formulas begin with f(x)=-5 and progress in difficulty through the exam.
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Math 155 - Spring 2002 Worksheet: Limits

For Students 11th - 12th
In this limits worksheet, students solve 6 short answer problems.  Students find the limits of functions, points of discontinuity, and the derivatives of functions.
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Seven Derivative Problems

For Students 12th - Higher Ed
In this derivatives worksheet students calculate the derivative for five functions and two application problems.  These problems include rational functions and functions with rational exponents.
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Higher Order Differentiation and Implicit Differentiation

For Students 9th - Higher Ed
In this differentiation worksheet, students calculate the first and second order derivatives and use implicit differentiation to solve 4 questions with multiple parts.
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A.P. Calculus Test Covering Limits, Derivatives, and Integrals

For Students 12th - Higher Ed
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.
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Twelve Related Rates Word Problems

For Students 12th - Higher Ed
In this word problems worksheet, students solve twelve related rates word problems. Knowledge of geometry is necessary to complete these problems.
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A.P. Calculus - First Semester Esxamination

For Students 11th - 12th
In this calculus exam learning exercise, students solve 40 multiple choice and short answer questions.  Students find normal lines, derivatives of functions, evaluate functions at points, etc.
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Derivative Formulas

For Students 10th - 12th
In this derivative formulas activity, students solve derivative problems. They use derivative formulas to solve problems. This one page activity contains twenty-eight multi-step problems.
Lesson Plan
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Definition of the Derivative

For Teachers 11th - 12th
Young scholars find the derivatives of functions.  For this finding the derivatives of functions lesson, students use the definition of derivative to take the derivative of a function.  Young scholars discuss scenarios in which...
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Implicit Differentiation

For Teachers 11th - 12th
Young scholars implicitly differentiate functions .  In this implicitly differentiating functions lesson, students take the derivative of functions that cannot be solved for a variable.  Young scholars find the derivative of an...
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Exponents and the Quotient Rule

For Students 7th - 8th
In this Exponents and the Quotient Rule activity, students follow the example given to solve 7 multiplication and division of exponents problems.
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Quotient Rule

For Students 7th - 11th
in this quotient rule worksheet, learners use the quotient rule to write the problems given as single exponents. Students complete 8 problems.
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Calculus Worksheet: Derivatives of Stepwise Functions (1)

For Students 11th - 12th
In this derivatives worksheet, students determine if the derivative of the given function exists. If the student determines this is yes, they are directed to find the value. There is one function on this worksheet.
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Derivatives of Composite Functions

For Students 11th - Higher Ed
In this derivatives of composite functions learning exercise students examine given functions and identify the derivative of the composite function. This one-page learning exercise contains 1 multi-step problems.
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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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Maximum and Minimum Points

For Students 11th - 12th
In this maximum and minimum points worksheet, students solve and complete 12 various types of problems. First, they find the area of the smallest triangle given the point of intersection. Then, students find the volume of a box that has...
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Senior Analysis: Derivatives by Definition

For Students 11th - Higher Ed
In this derivative worksheet, students find the derivative of given functions. They identify the equation of a line tangent to a specified function. This three-page worksheet contains 22 multi-step problems.
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Senior Analysis: Trig Limits

For Students 11th - Higher Ed
For this trig limits worksheet, students evaluate the limits of given equations. They use trig derivatives and implicit differentiation to solve given equations. This three-page worksheet contains 27 multi-step problems.
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Calculus Review Worksheet

For Students 11th - Higher Ed
In this review worksheet, students evaluate given limits. They evaluate graphs. This four-page worksheet contains 27 multi-step problems. Answers are provided on pages three and four.