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Interpreting the Graph of a Function
Groups sort through NASA data provided in a graphic to create a graph using uniform units and intervals. Individuals then make connections to the increasing, decreasing, and constant intervals of the graph and relate these connections...
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Derivatives Rules
In this calculus worksheet, 12th graders use the derivative rules to determine the derivative of a function. The one page worksheet has twenty-six problems. Solutions are not provided.
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Application of Differentiation: Optimization
In this optimization worksheet, students complete a table identifying the characteristics of a function and it's derivative and provide an illustration of each type of function. Afterward, they use the first derivative test for finding...
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Worksheet 14
In this math worksheet, students graph the function f(x) = sinx on a set of axes that is at least half the size of a page of notebook paper.
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Implicit Differentiation
Students implicitly differentiate functions . In this implicitly differentiating functions lesson, students take the derivative of functions that cannot be solved for a variable. Students find the derivative of an equation for a...
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A.P. Calculus - First Semester Esxamination
In this calculus exam worksheet, 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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Math 155 - Spring 2002 Worksheet: Limits
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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Exploring the Witch of Agnesi
students construct the graph of the Witch of Agnesi, and investigate both its asymptotes and inflection points. They construct the graph of the Witch of Agnesi and conjecture the asymptotes and inflection points of the function. ...
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Worksheet 1
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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Worksheet 17
In this math learning exercise, 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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AP Calculus Practice Exam
In this Calculus worksheet, learners are provided with practice problems for their exam. Topics covered include derivatives, area bounded by a curve, local maximum, instantaneous rate of change, and the volume of a solid of revolution. ...
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Linear and Quadratic Approximations
Students explore a linear, a parabolic, and a log function. For this Algebra II/Pre-calculus lesson students investigate the graph a line, a parabola, and a log function. Students examine the three graphs as they compare and contrast...
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More on Least Squares
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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Test Chapter 5: Intervals
In this interval instructional activity, students 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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Motion of a Bouncing Ball
Twelfth graders complete a unit of lessons on derivatives as they are applied to motion. They observe and discuss demonstrations, conduct an experiment involving a motion sensor, graph and analyze the results, and summarize their findings.
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Worksheet 18
In this math worksheet, students graph the function. Then they determine the altitude in relation to the graph of the function using point (2,1).
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Worksheet 30
In this math instructional activity, 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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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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Limits
In this limit worksheet, students evaluate functions and determine the limits of the function. This one-page worksheet contains 10 problems.
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Complex Analysis: Complex Exponential
In this complex exponential worksheet, students identify an entire function and explore how to show a function is analytic. This two-page worksheet contains four problems, as well as explanations and examples.
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Exploration 3: Introduction to Definite Integrals
In this integral worksheet, students estimate the definite integral and find the derivative of functions. They graph functions and determine the range of the velocity. This three-page worksheet contains approximately 40 problems.
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Worksheet 11
In this math worksheet, students define a function f(x) by the following rule: for any x ∈ R,set. They also define the domain and range for the functions.
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Worksheet 27 - Fall 1995
In this math worksheet, students find the area bounded by the tangent line, the x-axis, and the line x =2. They also describe the graph of the function.
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Worksheet 15 - Spring 1996
In this math instructional activity, students solve the functions from the definition of Taylor polynomials of degree 4 centered at zero.