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Limits of Functions
In this calculus activity, 12th graders solve problems containing limits using the rules of limits. There are 2 questions on this activity requiring students to show knowledge of the rules of limits.
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Elementary Derivatives and Rules of Differentiation
In this derivative worksheet, students use the definition of limits and derivatives to find formulas with given conditions. They find derivatives of given equations. This four-page worksheet contains approximately ten problems, with...
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Review Questions for Midterm 2
For this review worksheet, students prove the intersection of finitely of sets, construct increasing functions, and identify characteristics of an open and closed set. This two-page worksheet contains seven problems.
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The Definition Derivative
In this derivative worksheet, students evaluate limits, factor equations, and calculate the given function. They determine the derivative of a function and plot it on a graph. This four-page worksheet contains eight problems.
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Computing Derivatives
In this computing derivatives worksheet, students determine the derivative, slope, and rate of change in a function. They indicate if a function is constant, increasing, or decreasing. This two-page worksheet contains approximately ten...
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Three Calculus Overview Problems
For this calculus overview worksheet, students: find the equation of a tangent line, curve sketch, and find limits. Students should have covered continuity as well.
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Worksheet 8 - Spring 1996
In this math worksheet, students sketch the graphs of the functions 1/x 2 and 1/(x2 − 1) over the interval [2, ∞). They rewrite the series using the Riemann sum.
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Worksheet 18
For 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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Numerical Analysis: Successive Intervals
In this successive interval worksheet, students find the approximation of a root, using the Bisection Algorithm. They identify intervals, and use algebraic manipulation to identify functions that have a fixed point.
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Calculus Review Worksheet
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.
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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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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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The Chain Rule and Applications
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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Rational Expressions Test with a Calculator
In this rational expression worksheet, students graph rational equations, evaluate limits, state intercepts, asymptotes, and roots and factor. This worksheet is designed as a test to be completed with a calculator.
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Topic 3.5 & 3.6: Linear Programming
In this linear programming worksheet, students define variables and write a system of inequalities for the given situation. They model the solution through graphing. This two-page worksheet contains six multi-step word problems.
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Challenge Discussion Sheet 3
In this function worksheet, students prove given limits, solve differentiate functions, identify points on a graph with tangent lines passing through given points, determine the radius of a largest sphere that can fit inside of a pyramid...
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Challenge Discussion Sheet 2
In this function instructional activity, students write a function for the volume of a cube, determine limits using trigonometric functions, sketch graphs, and use the Intermediate Value Theorem to prove solutions of problems. this...
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Discussion Sheet 2: Domain and Range
In this domain and range worksheet, students determine the domain and range of a function, compute the limits of a function, and use the intermediate value theorem to verify that an equation is solvable. This one-page worksheet contains...
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Review of Calculus BC I
In this review instructional activity, learners match a function to the proper description. they identify the domain of a function. Students determine the slope of an inverse function. They find the derivative of given equations. ...
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Discussion Sheet 8
In this limits worksheet, students answer ten short answer questions. Students evaluate limits and differential problems. They find horizontal asymptotes for one function.
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Graphs of the Sine and Cosine Function
In this college level Pre-Calculus worksheet, students investigate the graphs of the sine and cosine functions. The six page worksheet contains seventy-eight problems. Solutions are not provided.
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Supplemental Trig Problems
In this supplemental trigonometry worksheet, students determine the indicated limit, identify the tangent for an increasing function, find the relative and absolute extremes and write the formula for an equation and slope of a line. ...
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The Product and Quotient Rules
In this produce and quotient rule worksheet, students identify the values of given limits. They justify given proofs and explore the derivative of the sine and tangent functions. This three-page worksheet contains explanations,...
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Graph of the Tangent, cotangent, Secant, and Cosecant Functions
In this college level Pre-calculus worksheet, students examine the graphs of the Tangent, cotangent, secant, and cosecant functions. Students find the intercepts and any asymptotes. The seven page worksheet contains sixty-six...