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Calculus AB/BC - Particular Solutions using Initial Conditions and Separation of Variables
Take the next step in separating. Pupils pick up from the previous lesson to now find the particular solution of a differential equation at a given point. Scholars watch three examples of finding the particular solution and hear the...
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Logarithmic Differentiation
In this calculus activity, 12th graders perform logarithmic differentiation on functions for which the ordinary rules of differentiation do not apply. The one page interactive activity contains eleven problems. Answers are...
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Implicit Differentiation Problems
In this calculus worksheet, students perform implicit differentiation to take the derivative. They solve function explicitly of x. They differentiate between implicitly and explicitly. There are 16 problems with an answer key.
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Differentiation Using the Chain Rule
In this calculus worksheet, students solve problems using differentiation and the chain rules. They take the derivatives of equations using specific equations. There are 21 problems with an answer key.
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Worksheet 13 - Implicit Differentiation
For this implicit differentiation worksheet, students differentiate expressions and identify the derivative of a function. This one-page worksheet contains six multi-step problems.
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Calculus AB/BC - Selecting Procedures for Derivatives
Don't get lost trying to memorize all those derivative rules. Scholars review the different methods at their disposal to determine derivatives from Units 2 and 3. They fill out a graphic organizer and then complete a set of practice...
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Calculus AB/BC - Straight-Line Motion: Connecting Position, Velocity, and Acceleration
Move the video on motion to the front of the line. The second of eight lessons in Unit 4 - Contextual Applications looks at straight-line motion. Scholars learn how position, velocity, and acceleration are related by derivatives before...
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Calculus AB/BC - Approximating a Function's Value Using Local Linearity
No need to be exact every time. Pupils watch an engaging video on approximating function values. They see how to write the equation of a tangent line, use it to calculate approximations, and then determine whether it is an overestimate...
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Calculus AB/BC - L'Hopital's Rule
Direct substitution fails. Now what? The seventh of eight videos in Unit 4 - Contextual Applications looks at L'Hopital's rule. Scholars learn to take the derivative of both the numerator and denominator of a function when substitution...
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Differentiation Using the Quotient Rule
In this calculus learning exercise, students use differentiation to solve problems. They apply the quotient rule as they solve rational expressions. There are 19 questions with an answer key.
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Worksheet Two
For this math worksheet, students solve differential equations. Students use similar equations, and analyze ways they differ from one another. Students draw directional fields and sketch solutions. The final three questions are...
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Calculus 3.6 - The Chain Rule
Greg Kelly puts together another great slide presentation to demonstrate ways to combine derivative rules to evaluate more complicated functions. This pattern is called the chain rule. He shows step by step ways to solve these...
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Calculus AB/BC - Derivatives of tan(x), cot(x), sec(x), and csc(x)
Continue to differentiate the rest of the trigonometric functions. Pupils see the derivatives of the other four trigonometric functions and begin to memorize the rules. Learners see examples that show that the calculus portion of a...
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Calculus AB/BC - The Quotient Rule
Some differentiation rules are just better to memorize. The ninth lesson in a unit of 11 presents the quotient rule to pupils for them to memorize. Learners use the quotient rule to determine the derivative of two quotients after seeing...
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Calculus Test
In this calculus learning exercise, students integrate various functions, find the sum of a series, and solve differential equations. There are 16 questions including multiple choice and free response.
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Linear Systems: Applications of Linear Algebra to Differential Equations
In this differential equations worksheet, students solve systems of simultaneous differential equations using linear algebra. This six-page worksheet contains approximately six problems, with explanations and examples.
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Calculus and The Simpsons
In this calculus worksheet, students examine a situation form The Simpsons in whcih Bart falls from a tree house. Students write and solve an differential equation that gives the height of the tree house. The...
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Coffee: Differential Equation
In this differential worksheet, students read a word problem and write a differential equation and solve it. They draw the slope field for given problems. This two-page worksheet contains 9 multi-step problems.
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Differential Equations
In this differential equations worksheet, students solve and complete 3 sets of various problems. First, they solve each of the differential equations. Then, students use the given information to evaluate the constant of integration....
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Calculus AB/BC Unit 5 Review: Analytical Applications of Differentiation
Time to put it all together in one sheet—well five. Pupils review all the topics presented in the resources for Analytical Applications of Differentiation. The five pages summarize the concepts with explanations and examples.
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First-Order Differential Equations and Vector-Matrix Systems
In this differential equation worksheet, students answer seventeen problems related to first-order differential equations, vectors, systems of equations, and vector-matrix form of systems of equations.
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Linear Systems: Differential Equations
In this differential equations worksheet, students solve collections of simultaneous differential equations. This six-page worksheet contains examples, explanations, and approximately six problems.
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Differential Equation
In this differential worksheet, students answer three essay questions. They are presented a problem about the height of a tree being a function of the base diameter. Students write the equation for the differential equation, solve the...
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Differential Equations
In this differential equation instructional activity, students find the derivative of given equations and express their answers as Maclaurin series. This two-page instructional activity contains examples and explanations. There are two...