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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 Calculus_First Derivative Test Resource and Practice

Calculus_First Derivative Test Resource and Practice

Created by
MathxMath
This 9 pages of materials here contain a single page of resources on using the first derivative to determine intervals of increasing and decreasing and locating local of a function. The next 4 pages contain various activities to help students explore those concepts. These pages are followed by the answer keys for the activities.
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 - 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 Calculus Derivative Tests, Related Rates, IVT, MVT, EVT for Graphic Organizer

Calculus Derivative Tests, Related Rates, IVT, MVT, EVT for Graphic Organizer

This AP® Calculus derivative graphic organizer is a great way for students to easily access the information needed to solve related rate problems, know when to use the first and second derivative tests and understand the differences between intermediate value theorem, extreme value theorem and mean value theorem. All three include a partially filled out sample. Leaves room for sample problems and specific classroom formulas, notes, etc. Surface area and volume formulas folding graphic orga
Preview of Calculus First Derivative Test Maze

Calculus First Derivative Test Maze

Created by
Joan Kessler
This fun activity for the 1st Derivative Test will engage you Calculus students while studying Analytical Applications of Differentiation. Students use the 1st Derivative Test to determine if the function is increasing, decreasing, or neither at a given point. This activity is designed to be used without Graphing Calculators. There are 16 problems and students must complete 15 of them to correctly complete the maze. An answer key is included.I have also included a student show your work page
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.
Preview of Thanksgiving Calculus First & Second Derivative Tests Pixel Art Mystery Pictures

Thanksgiving Calculus First & Second Derivative Tests Pixel Art Mystery Pictures

Created by
Qwizy
Celebrate Thanksgiving with engaging calculus activities focused on the first and second derivative tests. Students analyze functions, including quadratics, cubics, quartics, rationals, and those with rational exponents, to determine critical points, intervals of increasing/decreasing values, inflection points, and concavity intervals. Each correct analysis unveils part of a festive Thanksgiving pixel art scene, making calculus exploration both educational and enjoyable. Product Highlights⭐️ 25
Preview of Graphing Trigonometry Parent Functions - Graphic Organizers

Graphing Trigonometry Parent Functions - Graphic Organizers

Trigonometry Parent Functions - Graphic OrganizersSIX graphic organizers for the trigonometric functions: • Sine • Cosine • Tangent • Secant • Cosecant • Cotangent The graphic organizers include domain, range, continuity, symmetry, local maxima and minima, periods, asymptotes, intervals of increase and decrease, x and y intercepts, a table of important points, and a graph. Students can fill the graphic organizers in or a typed answer key version is included as well. These are great to give to st
Preview of Halloween Calculus First & Second Derivative Test Pixel Art Mystery Pictures

Halloween Calculus First & Second Derivative Test Pixel Art Mystery Pictures

Created by
Qwizy
Celebrate Halloween with Calculus First & Second Derivative Tests Pixel Art! Students analyze functions, including quadratics, cubics, quartics, rationals, and those with rational exponents, using first and second derivative tests. They find critical points, intervals of increase/decrease, inflection points, and concavity, revealing a spooky mystery picture as they work through this engaging activity. Perfect for deepening calculus understanding with a holiday twist! Product Highlights⭐️ 25 D
Preview of Spring: Calculus First & Second Derivative Tests Pixel Art Activity

Spring: Calculus First & Second Derivative Tests Pixel Art Activity

Created by
Qwizy
Spring: Calculus First & Second Derivative Tests Pixel Art Mystery Picture Coloring Activities Students will perform the first and second derivative tests to analyze functions (quadratics, cubics, quartics, rationals, & equations with rational exponents) to find critical points, intervals of increasing/decreasing values, inflection points, and intervals of concavity. Product Features: 25 unique Spring Pixel Art Mystery Pictures5 different versions: Each with 15 unique questions & 5 different
Preview of St. Patrick's Day Calculus First & Second Derivative Tests Mystery Pixel Art

St. Patrick's Day Calculus First & Second Derivative Tests Mystery Pixel Art

Created by
Qwizy
Celebrate St. Patrick's Day with Calculus First & Second Derivative Tests Pixel Art Mystery Picture Activities! Students analyze functions—including quadratics, cubics, quartics, rationals, and equations with rational exponents—using first and second derivative tests. Discover critical points, intervals of increase/decrease, inflection points, and concavity while unveiling festive pixel art. A lucky blend of calculus practice and holiday fun! Product Highlights⭐️ 25 Different Pixel Art Myster
Preview of Easter: Calculus First & Second Derivative Tests Pixel Art Activity

Easter: Calculus First & Second Derivative Tests Pixel Art Activity

Created by
Qwizy
Easter: Calculus First & Second Derivative Tests Pixel Art Mystery Picture Coloring Activities Students will perform the first and second derivative tests to analyze functions (quadratics, cubics, quartics, rationals, & equations with rational exponents) to find critical points, intervals of increasing/decreasing values, inflection points, and intervals of concavity. Product Features: 25 unique Easter Pixel Art Mystery Pictures5 different versions: Each with 15 unique questions & 5 different
Preview of Summer: Calculus First & Second Derivative Tests Pixel Art Activity

Summer: Calculus First & Second Derivative Tests Pixel Art Activity

Created by
Qwizy
Summer: Calculus First & Second Derivative Tests Pixel Art Mystery Picture Coloring Activities Students will perform the first and second derivative tests to analyze functions (quadratics, cubics, quartics, rationals, & equations with rational exponents) to find critical points, intervals of increasing/decreasing values, inflection points, and intervals of concavity. Product Features: 25 unique Summer Pixel Art Mystery Pictures5 different versions: Each with 15 unique questions & 5 different
Preview of Monsters: Calculus First & Second Derivative Tests Pixel Art Activity

Monsters: Calculus First & Second Derivative Tests Pixel Art Activity

Created by
Qwizy
Monsters: Calculus First & Second Derivative Tests Pixel Art Mystery Picture Coloring Activities Students will perform the first and second derivative tests to analyze functions (quadratics, cubics, quartics, rationals, & equations with rational exponents) to find critical points, intervals of increasing/decreasing values, inflection points, and intervals of concavity. Product Features: 25 unique Monsters Pixel Art Mystery Pictures 5 different versions: Each with 15 unique questions & 5 diffe
Preview of Patriotic: Calculus First & Second Derivative Tests Pixel Art Activity

Patriotic: Calculus First & Second Derivative Tests Pixel Art Activity

Created by
Qwizy
Patriotic: Calculus First & Second Derivative Tests Pixel Art Mystery Picture Coloring Activities Students will perform the first and second derivative tests to analyze functions (quadratics, cubics, quartics, rationals, & equations with rational exponents) to find critical points, intervals of increasing/decreasing values, inflection points, and intervals of concavity. Use on Labor Day, Memorial Day, Veteran's Day, Flag Day, 4th of July, President's Day or anytime you feel like being patrio
Preview of Arcade: Calculus First & Second Derivative Tests Pixel Art Activity

Arcade: Calculus First & Second Derivative Tests Pixel Art Activity

Created by
Qwizy
Arcade: Calculus First & Second Derivative Tests Pixel Art Mystery Picture Coloring Activities Students will perform the first and second derivative tests to analyze functions (quadratics, cubics, quartics, rationals, & equations with rational exponents) to find critical points, intervals of increasing/decreasing values, inflection points, and intervals of concavity. Product Features: 25 unique Arcade Pixel Art Mystery Pictures5 different versions: Each with 15 unique questions & 5 different
Preview of Dogs: Calculus First & Second Derivative Tests Pixel Art Mystery Pictures

Dogs: Calculus First & Second Derivative Tests Pixel Art Mystery Pictures

Created by
Qwizy
Dogs: Calculus First & Second Derivative Tests Pixel Art Mystery Picture Coloring Activities Students will perform the first and second derivative tests to analyze functions (quadratics, cubics, quartics, rationals, & equations with rational exponents) to find critical points, intervals of increasing/decreasing values, inflection points, and intervals of concavity. Product Features: 25 unique Dog Pixel Art Mystery Pictures5 different versions: Each with 15 unique questions & 5 different pict
Preview of Super Hero: Calculus First & Second Derivative Tests Pixel Art Activity

Super Hero: Calculus First & Second Derivative Tests Pixel Art Activity

Created by
Qwizy
Super Hero: Calculus First & Second Derivative Tests Pixel Art Mystery Picture Coloring Activities Students will perform the first and second derivative tests to analyze functions (quadratics, cubics, quartics, rationals, & equations with rational exponents) to find critical points, intervals of increasing/decreasing values, inflection points, and intervals of concavity. Product Features: 25 unique Super Hero Pixel Art Mystery Pictures5 different versions: Each with 15 unique questions & 5 d
Preview of Applications of Derivatives: Maximum Velocity of a Cough

Applications of Derivatives: Maximum Velocity of a Cough

This is created to be an in class assignment graded assignment, which will take approximately 25 minutes depending on the skill levels of the students. The answer key/scoring guidelines are attached at the end of the worksheet. The worksheet should be used after Increasing and Decreasing Functions and the First Derivative Test are taught.
Preview of AP Calculus - f' Analysis Cheat Sheet

AP Calculus - f' Analysis Cheat Sheet

Created by
Bird's Eye Math
Help your students organize their thoughts of f' Analysis using thiHelp your students stay organized and master the fundamentals of calculus with this comprehensive, one-page f' Analysis Cheat Sheet. Perfect for AP Calculus students, this resource provides clear and concise explanations of critical points, increasing and decreasing functions, concavity, inflection points, and relative maximums and minimums using both the first and second derivative tests and how to justify them effectively! Key
Preview of Power Rule Worksheet

Power Rule Worksheet

This Power Rule worksheet provides straightforward, independent practice for students learning how to differentiate functions using the Power Rule. Unlike a guided worksheet, this resource is designed for students who are ready to apply the rule on their own without structured steps or prompts. The problems increase in complexity to help build fluency and confidence while reinforcing foundational derivative skills. Perfect for classwork, homework, bell-ringers, or quick review before quizzes and
Preview of Christmas Calculus First & Second Derivative Tests Pixel Art Mystery Pictures

Christmas Calculus First & Second Derivative Tests Pixel Art Mystery Pictures

Created by
Qwizy
Engage students with holiday-themed calculus practice using our Christmas Calculus First & Second Derivative Tests Pixel Art Mystery Picture Coloring Activities! Through analyzing functions such as quadratics, cubics, quartics, rationals, and equations with rational exponents, students will conduct first and second derivative tests. They'll identify critical points, determine intervals of increasing/decreasing values, pinpoint inflection points, and explore intervals of concavity, all while addi
Preview of Valentine's Day Calculus First & Second Derivative Tests Mystery Pixel Art

Valentine's Day Calculus First & Second Derivative Tests Mystery Pixel Art

Created by
Qwizy
Celebrate Valentine's Day with a mathematical twist in our Calculus First & Second Derivative Tests Pixel Art Mystery Picture Coloring Activities! Students will engage in performing the first and second derivative tests to thoroughly analyze a variety of functions, including quadratics, cubics, quartics, rationals, and equations with rational exponents. They'll work to identify critical points, determine intervals of increasing and decreasing values, locate inflection points, and explore inter
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