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Definition of the Derivative
Students find the derivatives of functions. In this finding the derivatives of functions activity, students use the definition of derivative to take the derivative of a function. Students discuss scenarios in which the derivative does...
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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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Calculus Worksheet: Derivatives of Stepwise Functions (1)
In this derivatives instructional activity, 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 instructional activity.
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Inverse Trig
In this inverse trig worksheet, 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 the...
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Derivatives
In this derivatives learning exercise, 11th graders solve and complete 2 various types of problems. First, they use the definition of a derivative to find the variable expression shown for each function. Then, students write the equation...
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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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Worksheet 9
In 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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ESP Quiz 4
Students solve four short answer (computation) problems by evaluating indefinite integrals. This worksheet is intended to be used as a quiz, but could be used a review.
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Challenge Discussion Sheet 4
in this derivative worksheet, 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 function as...
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Derivatives of Elementary Functions
In this derivatives worksheet, students sketch the graphs of four functions. They write the derivatives of eight functions. Students complete two derivative tables.
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The Product and Quotient Rules
In this derivatives worksheet, students solve nine short answer problems by multiplying or dividing with derivatives. They answer one true/false question. Students solve five short answer questions.
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Applications of Derivatives: Concavity and Optimization
In this derivatives worksheet, students sketch the graph of a function by determining the local maxima, minima and inflection points. They graph a second function when given the interval. Students solve two word problems involving...
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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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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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Understanding the Fundamental Theorem of Calculus
In 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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Discussion Sheet 2
In this math activity, students investigate the functions and find the derivatives. Then they examine the critical and saddle points.
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Multivariable Calculus/ Bonus Quiz 4, Partial Derivatives
In this math activity, students practice solving the problems that focus upon the concept of partial derivatives. The problems are in the form of a quiz.
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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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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 15
In this math worksheet, students sketch and label on a number line the regions that converge and diverge with the sequences. Then they examine a smooth function and define its series.
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Integrating Functions
For this math worksheet, students find the answers to the functions that includes integration and trigonometry. They use the examples for help with the special functions.
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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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Engineering in a Calculus Classroom
Students solve several differential equations. In this calculus lesson, students test their modulus calculation by testing different weights or beam lengths. They share their findings in class.
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Math 155 Review Worksheet for Exam 1
In this college level calculus worksheet, students evaluate the given limits or show that the limit does not exist. Students determine the derivative of the given functions. The two page worksheet contains twenty-six problems. Answers...