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Preview of Unit 5 Calculus Analytical Applications of Derivatives Lesson & Worksheets

Unit 5 Calculus Analytical Applications of Derivatives Lesson & Worksheets

Created by
Hybrid Learning
Whole Unit on Analytical Applications of Derivatives. Powerpoint presentations, notes and worksheets. Some things have answer keys. Unit 5 Analytical Applications of Derivatives5.1     Using the Mean Value Theorem 5.2     Extreme Value Theorem, Global Versus Local Extrema, and Critical Points 5.3     Determining Intervals on Which a Function is Increasing or Decreasing 5.4     Using the First Derivative Test to Determine Relative (Local) Extrema 5.5     Using the Candidates Test to Determine A
Preview of Calculus - Differentiation

Calculus - Differentiation

Created by
Al Robinson
Differentiation covers; Understand and use the derivative of f(x) as the gradient of the tangent to the graph of y=f(x) at a general point (x,y) including;the gradient of a tangent as a limit;interpretation as a rate of change;sketching the gradient function for a given curvedifferentiation from first principles for small positive integer powers of nDifferentiate x^n , for rational values of n , and related constant multiples, sums and differencesSecond derivative including understanding and usi
Preview of Differentiation

Differentiation

Created by
hong wang
Apply differentiation to gradients, tangents and normals, increasing and decreasing functions and rates of change (including connected rates of change);locate stationary points, and use information about stationary points in sketching graphs (the ability to distinguish between maximum points and minimum points is required, but identification of points of inflexion is not included). The unit includes: 1) The Limit & Differentiation 2) The Derivative and Tangent Line Problem 3) Basic Differenti
Preview of AP Calculus: The First and Second Derivative Tests Complete Lesson

AP Calculus: The First and Second Derivative Tests Complete Lesson

Created by
Grab a Pencil
This lesson introduces the First and Second Derivative Tests in the context of polynomials. (The lesson on Curve Sketching uses these tests to examine other types of functions.) The lesson begins with a review of increasing and decreasing functions as well as critical numbers. Then, the First Derivative Test is introduced, along with an application. After that, concavity and inflection points are introduced. Finally, the Second Derivative Test is shown, along with an example. This lesson is
Preview of AP Calculus: Curve Sketching Complete Lesson

AP Calculus: Curve Sketching Complete Lesson

Created by
Grab a Pencil
In this lesson, students gain practice in using calculus to understand the features of a graph. Students learn to identify the domain, intercepts, and symmetry of a function. They also practice using calculus to find asymptotes, intervals of increase and decrease, intervals of concavity, local extrema, and points of inflection. This lesson is appropriate for both AP Calculus AB and BC. Detailed answer keys are included. The topics covered include: -Features of a Function -Rational Function -Tr
Preview of AP Calculus: Graphing the Derivative Complete Lesson

AP Calculus: Graphing the Derivative Complete Lesson

Created by
Grab a Pencil
This lesson helps students learn how to graph the derivative of a function, given a graph of the function. Students also learn how to interpret the graph of the derivative and they make the connection between the derivative of the position function and the velocity function. Increasing and decreasing functions are also introduced. Finally, students learn how to estimate derivatives from a table of values and then use those values to create a graph of the derivative. This lesson is appropriate
Preview of AP Calculus Midterm 2006

AP Calculus Midterm 2006

Created by
Vanessa Moon
This is the exam I gave my Calculus students in 2006. If I had it to do over again, I would add some more integration questions. Overall, the exam went well. It is broken down into two parts, 2 sections each and is meant to model the AP exam. The timing is based on two 55 minute sessions. Topics include: differentiation implicit differentiation integration Rates of Change Concavity Increasing and Decreasing Functions Curve Sketching Vanessa Moon
Preview of Warm-ups: Analytical Applications of Derivatives

Warm-ups: Analytical Applications of Derivatives

How do I provide a meaningful activity for my students at the beginning of class while I deal with my classroom responsibilities (roll, helping students who were absent, etc.)? These warms-ups are the answer! The questions are designed to take students five to ten minutes to solve. Then the step-by-step solution is easy for students to follow as they check their work. A PDF containing all the problems is included for students to use. Concepts included:· Extrema on an interval. · The Mean Valu
Preview of AP Calculus AB Exam Questions & Answers for ALL Unit Tests, Exams,Quizzes,Review

AP Calculus AB Exam Questions & Answers for ALL Unit Tests, Exams,Quizzes,Review

Nearly 400 Practice AP Calculus AB Multiple Choice Questions and Full Answer Explanations! Microsoft Word file is editable. Perfect for Unit Tests, Quizzes, and review activities. Developed by experienced AP Calc teachers. Test bank is organized into the following topics and units: Limits of Functions Asymptotic and Unbounded Behavior Continuity as a Property of Functions Concept of the Derivative Derivative at a Point Derivative as a Function Second Derivatives Applications of Derivatives
Preview of Calculus BC notes, hw, warm ups and practice quizzes

Calculus BC notes, hw, warm ups and practice quizzes

In this download you will find everything you need to teach all the topics of Calculus BC for the year. Topics stretch from review of prior math to polar functions. PDF and word files are included for all packets. Word files are editable. Each of 10 chapters has notes, homework, warmups and practice quizzes. There are powerpoints of each set of notes to teach with, and they are editable. Filled in notes are included, as well as homework work and answers. The warm ups also have a powerpoint fil
Preview of Calculus AB notes, hw, warm ups and practice quizzes

Calculus AB notes, hw, warm ups and practice quizzes

In this download you will find everything you need to teach all the topics of Calculus AB for the year. Topics stretch from review of prior math to volumes of rotation. PDF and word files are included for all packets. Word files are editable. Each of 7 chapters has notes, homework, warmups and practice quizzes. There are powerpoints of each set of notes to teach with, and they are editable. Filled in notes are included, as well as homework work and answers. The warm ups also have a powerpoi
Preview of Product and Quotient Rules Quiz

Product and Quotient Rules Quiz

Created by
Vanessa Moon
This is a 6 question quiz designed to access students ability to apply the product and quotient rules to derivatives. It also includes a derivative of one of the 6 trigonometric functions. This quiz contains no chain rule.
Preview of Exponential Growth and Decay Quiz

Exponential Growth and Decay Quiz

Created by
Vanessa Moon
This short quiz covers some questions on exponential growth and decay. I use this in my AP Calculus class. Vanessa Moon
Preview of Rolle's and Mean Value Theorem Quiz

Rolle's and Mean Value Theorem Quiz

Created by
Vanessa Moon
This is a short quiz asking students to display their knowledge of Rolle's and Mean Value theorems. They are asked to describe the difference between the two, and answer some questions that apply these theorems. 5 questions total. Vanessa Moon
Preview of Calculus Quiz - Derivatives - Rules & Implicit Differentiation

Calculus Quiz - Derivatives - Rules & Implicit Differentiation

This Calculus quiz is on derivative rules: power rule, product rule, quotient rule, chain rule, as well as problems on implicit differentiation. Check out my other listings to get the worked out solution key for this quiz and alternate versions.
Preview of Calculus Quiz - Derivatives - Derivative rules & Equation of Tangent Line(2)

Calculus Quiz - Derivatives - Derivative rules & Equation of Tangent Line(2)

This Calculus quiz is on derivative rules: power rule, product rule, quotient rule, chain rule, as well as problems on finding the equation of the tangent line. Check out my other listings to get the worked out solution key for this quiz and alternate versions.
Preview of Calculus Quiz - Derivatives - Derivative rules & Equation of Tangent Line

Calculus Quiz - Derivatives - Derivative rules & Equation of Tangent Line

This Calculus quiz is on derivative rules: power rule, product rule, quotient rule, chain rule, as well as problems on finding the equation of the tangent line. Check out my other listing to get the worked out solution key for this quiz.
Preview of Calculus Related Rates NO Prep Lesson, Worksheet, & Key

Calculus Related Rates NO Prep Lesson, Worksheet, & Key

Calculus Related Rates: NO Prep Needed! This lesson contains everything you need to teach related rates. The editable and animated PowerPoint goes through all of the steps and tips involved when solving related rates problems and uses the popular DREDS strategy (Diagram, Label Rates, Write Equation(s), Differentiate, and Substitute). It contains 5 complete examples with step by step solutions, one of which is presented for the students to work out on their own. I put that slide up, give them 5-
Preview of Limit Definition of Derivative Quiz

Limit Definition of Derivative Quiz

Created by
Vanessa Moon
This is a quiz that I made for my students when I realized that they failed to recognize the limit definiton of derivative on their test. It has 4 questions that ask them to evaluate the limit and 2 questions that ask them to write the limit defintion given a function to find its derivative.
Preview of Warm-ups: Integration and Accumulation of Change

Warm-ups: Integration and Accumulation of Change

How do I provide a meaningful activity for my students at the beginning of class while I deal with my classroom responsibilities (roll, helping students who were absent, etc.)? These warms-ups are the answer! The questions are designed to take students five to ten minutes to solve. Then the step-by-step solution is easy for students to follow as they check their work. A PDF containing all the problems is included for students to use. These formative assessments cover all the AP Standards from
Preview of Limits Quiz (Calculus)

Limits Quiz (Calculus)

This is a quiz on limits that can be used in a Precalculus or Calculus class.
Preview of Pre-Calculus - Solving Radical Equations and Inequalities - EDITABLE

Pre-Calculus - Solving Radical Equations and Inequalities - EDITABLE

This is a short worksheet/quiz for a Pre-Calculus class that covers solving different types of radical equations and inequalities. Answer sheet also included.
Preview of Cumulative Quiz #1 covering factoring, the unit circle and basic limits

Cumulative Quiz #1 covering factoring, the unit circle and basic limits

Created by
Kandice Tucker
Every Tuesday I give a Cumulative Quiz covering "anything since August". It starts with limits, then derivatives, then applications, etc. This one covers a basic limit, factoring, and the unit circle because it is the first one to get them used to it.
Preview of Pre-Calculus Chapter 1 Quiz - Real Numbers, Relations, etc. EDITABLE

Pre-Calculus Chapter 1 Quiz - Real Numbers, Relations, etc. EDITABLE

This is a brief, editable quiz for a Pre-Calculus Class and covers Real Numbers, Number Relations, Functions, Mathematical Patterns, and Arithmetic Sequences. Answer Key Included.
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