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A.P. Calculus - First Semester Esxamination
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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Product Rule
Learners investigate the Product Rule for Derivatives and apply it to a variety of different types of problems. They think critically while using the rule and follow the examples included in the activity to help find the solutions to...
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Worksheet 17
In this math worksheet, students suppose that a function f and its derivative f1 are continuous and that there are constants K, a, and M such that |f(t)|< Keat for t ≥ M.
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Worksheet 30
In this math worksheet, students imagine a situation where a weight is attached to a string and it is swung in a circle. Then they use vectors and derivatives to describe the motion.
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Worksheet 22-Fall 1995
In this math activity, students examine the graph of the derivative. Then they determine the critical points that correspond to the relative extrema.
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Worksheet 20 Fall 1995
In this math worksheet, students describe a step by step method to solve rate problems. Then they state the time derivatives of different quantities.
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Math 155 - Worksheet 7. Function
In this function worksheet, students compute the derivative of given functions. They find the equation of a tangent line to a curve and compute the implicit differentiation. This two-page worksheet contains six problems.
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AP Calculus Practice Exam
For this Calculus worksheet, students are provided with problems of a similar nature to those on their exam. Problems include limits, derivatives, and integrals. The four page worksheet contains twenty-eight problems. Answers are not...
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AP Calculus Practice Exam
In this Calculus worksheet, 12th graders are provided with practice problems for their exam. Topics covered include limits, derivatives, area bounded by a curve, minimization of cost, and the volume of a solid of revolution. The four...
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Challenge Discussion Sheet 4
in this derivative learning exercise, students find the derivative for the function w'(t) and tell the meaning of this. They create a sign chart for the derivative of two functions. Students create the graph of the derivative of a...
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Understanding the Fundamental Theorem of Calculus
For this Fundamental Theorem of Calculus worksheet, students demonstrate their understanding of the theorem by identifying the derivative and anti-derivative of given functions. This two-page worksheet contains ten problems.
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Cell and Compound Nouns
Students explore the definition and derivation of the popular usage of shorten compound nouns. Using worksheets and lecture materials, students provide meanings for the word "cell" when used in varying contexts. They also consider the...
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Blogs and Other Internet Vocabular
Students explore the definition and derivation of popular internet vocabulary. Using worksheets and lecture materials, students provide meanings for the word blog and other words used to describe working on the internet. They consider...
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Challenge Discussion Sheet 5
In this math worksheet, students solve for the derivative of seven functions. For three derivatives, students set up a sign chart. They solve three word (or story) problems dealing with falling items.
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CHM 2211: Problem Set 13 Synthesis of Carboxylic Acid Derivatives
In this chemistry learning exercise, students work on a problem set consisting of 16 equations in which they synthesize carboxylic acid derivatives.
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Calc 1 Review Problems - Function
In this review of functions activity, students find the derivative of functions, evaluate limits, determine whether functions are invertible, identify critical points and find the equation of the tangent line to a function. This...
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Applications of Taylor Polynomials
In this math worksheet, students investigate the applications of using Taylor Polynomials. Then they use the derivative definition of a Taylor Series to compute the popular functions.
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Discussion Sheet 2
In this math worksheet, students investigate the functions and find the derivatives. Then they examine the critical and saddle points.
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Discussion Sheet 3: Limits
In this limit instructional activity, students evaluate limits and use asymptotes and intercepts to sketch graphs of functions. They determine the area of inscribed shapes and use the limit definition of a derivative to differentiate...
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A Plethora of Derivatives
In this derivative worksheet, students fill in tables to identify the value of given functions. They write and utilize the addition rule, chain rule, multiple rule, product rule, quotient rule and power rule to solve functions. This...
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Worksheet 9
For this integration worksheet, students solve 30 short answer (computation) problems. They find the area of regions enclosed by graphs of given functions for one problem. Students solve five short answer problems using derivatives. They...
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Implicit Differentiation
In 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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Instantaneous Velocity
In this velocity worksheet, students determine the average and instantaneous velocity. They compute the derivative of given functions. This one-page worksheet contains seven multi-step problems.
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Inverse Trig
In this inverse trig learning exercise, students solve and complete 24 various types of problems. First, they evaluate each of the trigonometric inverses shown. Then, students find x and y in each trigonometric derivative. They also find...
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