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Preview of Analysis of Functions (PP)

Analysis of Functions (PP)

Created by
Rita Rhinestone
This powerpoint has examples where you would determine the signs of the first and second derivatives, determining the inflection points, and intervals of increasing and decreasing from a given graph. There is one problem with given conditions and students need to sketch the graph. All answers are given.
Preview of Graph Analysis Using the 1st Derivative Notes, Examples, Handout, & Assignment

Graph Analysis Using the 1st Derivative Notes, Examples, Handout, & Assignment

This resource includes notes, examples, and assignment using the 1st derivative to analyze functions. Topics included are: · Critical Numbers · Intervals of Increase and Decrease · Relative Extrema · Absolute Extrema Function types included are: · Quadratic · Cubic · Rational · Trigonometric
Preview of Critical Points Matching Cards

Critical Points Matching Cards

Students match a function, it’s critical points, where the function is at a minimum and/or maximum, where the function is increasing and/or decreasing and the sign chart for the first derivative. This activity has been revised.
Preview of Derivatives Graph Analysis Using Tables: Notes, Ex, Handout & Assign (Editable)

Derivatives Graph Analysis Using Tables: Notes, Ex, Handout & Assign (Editable)

This resource includes notes, examples, handout and assignment analyzing graphs of functions using tables. Tables include: · Relative Extrema · Inflection Points · Intervals of Increase and Decrease · Intervals of Concave Upward and Concave Downward · Vertical Asymptotes Students will complete tables with: · Information about f(x) · Information about f'(x) · Information about f''(x) · Description of graph
Preview of Derivatives -Graph Analysis Using Tables - Notes, Examples, Handout & Assignment

Derivatives -Graph Analysis Using Tables - Notes, Examples, Handout & Assignment

This resource includes notes, examples, handout and assignment analyzing graphs of functions using tables. Tables include: · Relative Extrema · Inflection Points · Intervals of Increase and Decrease · Intervals of Concave Upward and Concave Downward · Vertical Asymptotes Students will complete tables with: · Information about f(x) · Information about f'(x) · Information about f''(x) · Description of graph
Preview of AP Calculus Test Questions: Analysis of Graphs

AP Calculus Test Questions: Analysis of Graphs

Created by
Regina Buonanno
Part of a larger series of test questions directly aligned with AP's calculus guidelines. This comprehensive set of questions covers: - odd/even - increasing/decreasing - rational, polynomial, logarithmic, exponential, and trigonometric functions - domain/range - end behavior
Preview of Calculus 1st First Derivative Test Digital Maze

Calculus 1st First Derivative Test Digital Maze

Created by
Joan Kessler
Your Calculus students use the 1st Derivative Test in this fun digital Zombie themed activity to determine if the given function is increasing, decreasing, or neither at a given point. This activity is designed to be used without Graphing calculators. Each answer leads them to the next question. There are 16 problems and students must complete 15 of them to correctly complete the maze. Derivatives include the product rule, quotient rule, chain rule, sine, cosine, inverse sine, logarithmic,
Preview of Calculus Related Rates Digital plus Print

Calculus Related Rates Digital plus Print

Created by
Joan Kessler
Here is a perfect way to assess your Calculus students' skills with Related Rates Problems. There are 8 problems including problems such as: Increasing and decreasing circles and squaresVolume with spheres Conical shapesAngle problemsThe digital version of is designed with Google Forms™ which means it is paperless and NO PREP for you and will be graded automatically for you. It is also editable. The questions in the digital resource are multiple choice. The Printable version of the questio
Preview of First And Second Derivative Tests - Create Your Own Matching Activity (Word)

First And Second Derivative Tests - Create Your Own Matching Activity (Word)

In this activity students will be creating four different functions in which they will find their derivatives, determine all critical points, extrema, intervals of increase and decrease and intervals of concavity. Students will also be asked to find a graph of the original function. The activity can be downloaded as a Word document or a Google Slide (see alternate listing) and can easily be used as an online activity, or, can be printed, collected and used as a classroom matching game using all
Preview of First and Second Derivative Tests - Create Your Own Matching Activity (Slides)

First and Second Derivative Tests - Create Your Own Matching Activity (Slides)

In this activity students will be creating four different functions in which they will find their derivatives, determine all critical points, extrema, intervals of increase and decrease and intervals of concavity. Students will also be asked to find a graph of the original function. The activity can be purchased as a Word document (see alternate listing) or as a Google Slide and easily used as an online activity, or, can be printed, collected and used as a classroom matching game using all of st
Preview of Calculus Board Sessions,Session 19, Integrating even and odd sines

Calculus Board Sessions,Session 19, Integrating even and odd sines

In this Board Session students will… -get some definite integration and trig practice -find average value of a function -work with integrating sin square and sine cubed -review increasing,decreasing,point of inflection -integrate a step function using area -work with the motion of a particle We DO have a complete set of the 20 Calculus Board Sessions listed, and at a discount from the individual sessions multiplied by 20. For ease in finding it you might want to try copying: Complete Set 20 Cal
Preview of AP Calculus - Unit 5 - REVIEW CIRCUIT (with Solutions!)

AP Calculus - Unit 5 - REVIEW CIRCUIT (with Solutions!)

This circuit contains 32 problems that cover all of AP® Calculus Unit 5 - Analytical Applications of the Derivative (Mean Value Theorem, Absolute Extrema, Relative Extrema, Increasing/Decreasing Intervals, Concavity, Second Derivative Test, Connecting Graphs of a Function and its Derivative, Optimization, Behavior of Graphs of Implicit Relations). To allow for greater flexibility, the circuit is provided in three forms. The first is the complete 32 problem circuit. The second is 17 questions c
Preview of Analysis of Functions 1 (PP)

Analysis of Functions 1 (PP)

Created by
Rita Rhinestone
This powerpoint introduces the test for concavity using the second derivative. There are several examples with all steps given. There is one example to just determine increasing and decreasing (first derivative) and then concavity is added in.
Preview of Functions and Their Properties Advanced Math/Pre Calculus  Mini Lesson

Functions and Their Properties Advanced Math/Pre Calculus Mini Lesson

This SmartBoard mini lesson includes determining if a relation is a function, function notation, implied vs relevant domain, findng the domain and range of a function, continuity and types of discontinuity, increasing and decreasing functions, boundedness, local extrema, even and odd functions, identifying asymptotes,and using limit notation,
Preview of Calculus Weekly Bell Ringers Math Review Problems 3 with Editable

Calculus Weekly Bell Ringers Math Review Problems 3 with Editable

Do you need a great way to start your Calculus course with bell ringers? Comes with 30 review problems on topics such as factoring, finding limits, discussing increasing and decreasing, finding basic slopes, etc. I use this with my Calculus students about a month into school as openers. Great way to get students checking solutions with a peer and creating an appropriate learning environment from day 1. They are designed to be pretty quick and be conversation starters for Derivative problems.
Preview of AP CALCULUS BC - 7.9 LOGISTIC DIFFERENTIAL EQUATIONS WORKSHEET

AP CALCULUS BC - 7.9 LOGISTIC DIFFERENTIAL EQUATIONS WORKSHEET

Created by
MATH WITH YOSH
This Calculus worksheet is intended for students after they have learned the 7.9 Logistic Models with Differential Equations lesson from Unit 7 (AP Calculus BC Course and Description). In this worksheet, I have included multiple choice practice problems where students apply the model for logistic growth: dy/dt=ky(a-y). Given a logistic differential equation, students will then be able to identify: 1. The limiting value (carrying capacity) 2. The graph of the solution to a logistic differential
Preview of Calculus Applications of Derivatives

Calculus Applications of Derivatives

Applications of Derivatives Scavenger Hunt is a hands-on activity for students to solve derivative questions connecting f, f’ and f’’. Students will practice finding critical points, relative and absolute extrema, intervals of increasing, decreasing and concavity as well as finding inflection points. This resource includes 20 problem total with 16 questions in the scavenger hunt and 4 follow up error analysis questions that are perfect to use for early finishers or as an additional practice ac
Preview of AP® Calculus AB/BC - Unit 5: Analytical Applications of Differentiation

AP® Calculus AB/BC - Unit 5: Analytical Applications of Differentiation

This resource includes one powerpoint-style lesson (example is in the preview) per section, one worksheet set with full solutions per section, one reference sheet for the unit, and one unit test for the unit with solutions. Unit 5: Analytical Applications of Differentiation5.1 The Mean Value Theorem (MVT) and Rolle's Theorem 5.2 Using the First Derivative Test (Increasing/Decreasing, Critical Points) 5.3 Using the First Derivative Test (Relative Extrema) 5.4 Using the Second Derivative Test (Con
Preview of CALCULUS 1st Semester REVIEW - "Gingerbread" Task Cards Christmas Activity

CALCULUS 1st Semester REVIEW - "Gingerbread" Task Cards Christmas Activity

Created by
Niki Math
This fun gingerbread cookies themed activity will help your students review such topics as ❄ first and second derivatives ❄ evaluating limits using L’Hospital’s Rule ❄ finding asymptotes of functions ❄ intervals of increasing and decreasing ❄ critical points and local extrema ❄ intervals of concavity and inflection points ❄ finding the equation of a tangent line ❄ implicit differentiation ❄ logarithmic differentiation The functions included are rational, radical, trigonometric, inverse trig
Preview of Calculus: The First Derivative Test – Comprehensive "3-in-1" Practice

Calculus: The First Derivative Test – Comprehensive "3-in-1" Practice

Created by
Niki Math
Master the landscape of any function! 🎸 This intensive Calculus resource from NikiMath Store provides students with a massive set of 20 problems to perfect their skills in classifying critical points and finding relative extrema. It’s the ultimate "workout" for the First Derivative Test. It’s Math that Rocks! 💎✨⚠️ IMPORTANT: This is a PRACTICE-BASED resource. It includes 20 deep-dive problems and full detailed answer keys. It does not include formal lesson plans. ⚠️ 🔹 The "3-in-1" Analyt
Preview of Key Features of Functions Task Cards (Basic Level)

Key Features of Functions Task Cards (Basic Level)

Key Features of Functions Task Cards (Basic Level)This resource is a task card activity that should be used after teaching students about key features of functions like domain, range, x and y intercepts, increasing/decreasing/constant intervals, and end behavior. This task card set is good for students in Precalculus or Calculus. I like to print out and laminate the task cards and hand them around my room. Students, working in pairs or by themselves, can rotate through the stations answering ea
Preview of Key Features of Functions Task Cards (Expert Level)

Key Features of Functions Task Cards (Expert Level)

Key Features of Functions Task Cards (Expert Level)This resource is a task card activity that should be used after teaching students about key features of functions like domain, range, x and y intercepts, increasing/decreasing/constant intervals, and end behavior. This task card set is good for students in Precalculus or Calculus. I like to print out and laminate the task cards and hand them around my room. Students, working in pairs or by themselves, can rotate through the stations answering e
Preview of Calculus - How Can One Graph Help Describe Another Graph?

Calculus - How Can One Graph Help Describe Another Graph?

This activity incorporates the graphing calculator to help students understand how the behavior of one graph can describe the behavior of another function. Three related equations are entered in y1, y2, and y3 in the graphing calculator. • The original function is entered in y1. • An expression that represents the derivative of y1 is entered in y2. • An expression that represents the derivative of y2 is entered in y3. After graphing y1, y2, and y3 in the same window, a series of questi
Preview of Calculus Applications of Derivatives

Calculus Applications of Derivatives

Created by
Lisa Jones
Through this activity students will determine critical numbers of functions, locate relative extrema and points of inflection, and utilize the first and second derivatives to locate intervals on which the function is increasing or decreasing and to describe its concavity. On the last problem, students will utilize all of these techniques, as well as their prior knowledge of finding the roots of a polynomial to graph a cubic function.
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