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Preview of Finding Extrema & Intervals of Increase and Decrease | Calculus Derivative

Finding Extrema & Intervals of Increase and Decrease | Calculus Derivative

Help your students build strong calculus foundations with this comprehensive and visually clear worksheet + mini-lesson on relative and absolute extrema and increasing/decreasing intervals! Students will learn how to use first and second derivatives to analyze functions, identify critical points, and determine where functions are increasing or decreasing — all through step-by-step guided problems. What’s Included:✅ Engaging Lesson Page explaining: Critical points Relative and absolut
Preview of Increasing, Decreasing and First Derivative Test | Calculus Notes & Video

Increasing, Decreasing and First Derivative Test | Calculus Notes & Video

Increasing, decreasing and First Derivative Test lesson for Calculus with guided notes, homework, and video lesson. Teach intervals of increase and decrease, derivative sign charts, and relative extrema.This is one lesson from my Calculus Unit 3 – Applications of Derivatives curriculum. It includes guided notes, homework practice, a full video lesson, and detailed step-by-step answer keys to support student understanding. This lesson is designed for a guided, non-AP Calculus course and works wel
Preview of Calc Ch 3.3a Increasing and Decreasing Functions

Calc Ch 3.3a Increasing and Decreasing Functions

Calculus, notes, powerpoint, power point, lesson, Calculus AB, Calculus BC, AP Calc, AP Calculus, Infinite Limits, Increasing and Decreasing Functions
Preview of Unit 5 Calculus Analytical Applications of Derivatives

Unit 5 Calculus Analytical Applications of Derivatives

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 Ab
Preview of Graph Analysis Using the 1st Derivative Notes, Examples, & Assignment

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

This resource includes notes, examples, and assignment using the 1st derivative to analyze functions.  Topics included are: Critical NumbersIntervals of Increase and DecreaseRelative ExtremaAbsolute Extrema Function types included are:QuadraticCubicRationalTrigonometric
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 Graph Analysis Using Derivative Tables:   Notes, Examples, & Assignment

Graph Analysis Using Derivative Tables: Notes, Examples, & 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: 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 CALCULUS: LOCAL EXTREMA, INFLECTION POINTS AND INTERVALS OF CONCAVITY

CALCULUS: LOCAL EXTREMA, INFLECTION POINTS AND INTERVALS OF CONCAVITY

Created by
STEM Creations
PREREQUISITE KNOWLEDGE: The student should know how to find the derivative of any given function. This step by step guide will meet the following objectives: Objectives: --------------------------------------- Upon completion of this section, the student should be able to: • Use derivatives to determine the intervals of increase and decrease of a given function • Use the First Derivative Test to determine any local maximum or minimum points • Find inflection points • Use the concav
Preview of Advanced Curve Sketching Practice — Calculus AB/Calculus 1

Advanced Curve Sketching Practice — Calculus AB/Calculus 1

Transform curve sketching from a memorized checklist into a meaningful reasoning process. This Calculus AB practice packet gives students 10 full curve-sketching problems that build conceptual understanding through progressively challenging function types — polynomial, rational, trigonometric, logarithmic, exponential, and piecewise. Each question leads students through: Domain and range reasoning Continuity and differentiability Critical points and increasing/decreasing intervals Concavi
Preview of SIX Curve Sketching Worksheets + Key + Summary of Curve Sketching - Calculus 1

SIX Curve Sketching Worksheets + Key + Summary of Curve Sketching - Calculus 1

This product (pdf) can be used as an in-class activity / homework / group work for curve sketching in differential calculus. The first 2 pages does a review of curve sketching. There are 6 curve sketching questions, followed by their key. For each question, the student must find the following: - domain - x,y intercepts - horizontal asymptotes (using limits) - vertical asymptotes (using limits) - increasing/decreasing (using first derivative) - local max/min (first derivative test) - concavity
Preview of Calculus:  1 - Limits & Algebra Review (Notes, Homework, Practice Quizzes)

Calculus: 1 - Limits & Algebra Review (Notes, Homework, Practice Quizzes)

Notes, homework, practice quizzes, and warm-upsThis listing contains several documents that a calculus teacher can use for a chapter covering limits and a review of math basics. In my own classroom, this is Chapter 1 for my students. All worksheets and practice quizzes contain detailed keys that show the work clearly so that students can check their answers and learn from their mistakes. What's included?Lecture slides & student notesWarm-ups13 pages of homework practiceThree 30 minute practice q
Preview of Calculus:  2 - Derivatives & Related Rates (Notes, Homework, Practice Quizzes)

Calculus: 2 - Derivatives & Related Rates (Notes, Homework, Practice Quizzes)

Notes, homework, practice quizzes, and warm-upsThis listing contains several documents that a calculus teacher can use for a chapter covering the basics of derivatives, including power, product, quotient and chain rule, and teaching related rates. In my own classroom, this is Chapter 2 for my students. All worksheets and practice quizzes contain detailed keys that show the work clearly so that students can check their answers and learn from their mistakes. What's included?Lecture slides & stude
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 Calculus More Integration Guided NOTES and LESSONS | Unit 6  U Substitution

Calculus More Integration Guided NOTES and LESSONS | Unit 6 U Substitution

Created by
Hoff Math
Save yourself hours of prep time when you use these 3 EDITABLE lessons to teach Integration by u-Substitution and Differential Equations to your Calculus students. This resource is included in the complete Calculus Integration Part 2 Unit 6, which contains these notes, homework, a quiz review, a quiz, a review game for Differential Equations, and a Card Sort for Differential Equations. Bundle and save! Skip the prep and grab the Calculus Course Full Curriculum Bundle. This all-in-one resource
Preview of Finding Derivatives Using the Chain Rule Activity for AP Calculus AB & BC

Finding Derivatives Using the Chain Rule Activity for AP Calculus AB & BC

Make Chain Rule practice engaging, collaborative, and movement-based with this Around-the-Room Circuit Activity for AP Calculus AB and BC! This interactive scavenger hunt challenges students to apply the Chain Rule, derivatives of inverse functions, and inverse trigonometric derivatives in a structured, self-checking format. With 14 carefully designed problems, students build fluency while deepening conceptual understanding — making this the perfect review before a quiz, unit test, or AP Exa
Preview of Introduction to Limits - Lesson + 2 Printable Worksheets & Keys

Introduction to Limits - Lesson + 2 Printable Worksheets & Keys

This bundle contains the following resources: 6 pages of lesson notes on limits to be used by the teacherIntroduction to Limits worksheet + keyOne-sided Limits worksheet + key1. The lecture /lesson file (pdf) can be used as a lesson on introduction to limits. Topics covered include: Definition of the LimitOne-sided LimitsVertical Asymptotes (Using Limits - infinite limits)Plus: many examples regarding these topics throughout. 2. The first worksheet contains 16 introduction to limit problems. I
Preview of CHAIN RULE Editable Lesson + Circuit Training, AP Calculus (3.1)

CHAIN RULE Editable Lesson + Circuit Training, AP Calculus (3.1)

AP Calculus: The Chain Rule – Lesson & Circuit Training Activity (3.1)Help your AP Calculus students master the Chain Rule with this engaging lesson and Building Thinking Classrooms (BTC) circuit training activity! Students will gain confidence applying the Chain Rule to calculate derivatives of composite functions. Students Will Learn To:Identify inner and outer functionsApply the Chain Rule correctly and efficientlyApply the Chain Rule multiple timesCombine the Chain Rule with the Product a
Preview of Calculus: Finding Limits Using Limit Laws

Calculus: Finding Limits Using Limit Laws

This lesson includes step-by-step instructions and examples. There are 10 questions total, but there are 2 formats. Page 1: step-by step examples Page 2-4: 10 problems to solve with room to show work (This is best for tests, quizzes, or if you want to give your students the space to show their work and not have to use their own paper.) Page 5: The EXACT SAME 10 problems with. no room to show work (This is best for homework, or anything where you want the student to turn in their work on their ow
Preview of Multivariable Calculus / Calculus 3: DOUBLE INTEGRALS over General Regions

Multivariable Calculus / Calculus 3: DOUBLE INTEGRALS over General Regions

Created by
Niki Math
This resource is designed for CALCULUS 3 - a comprehensive and rigorous lesson on Double Integrals over general regions, containing 42 problems total along with their detailed solutions. The lesson includes ◆ notes and worked out examples ( 4 problems) ◆ practice problems ( 14 problems) ◆ two quizzes ( 6 problems) ◆ assignment problems ( 18 problems) ********************************************************************* ❣❣❣ PLEASE VIEW THE PREVIEW BEFORE YOU BUY: Please study the preview ima
Preview of Euler's Method Differential Equations Calculus

Euler's Method Differential Equations Calculus

Created by
Joan Kessler
Included in this Calculus lesson on Differential Equations - Euler's Method are guided notes and examples which incorporate students using a table to determine values. There are 8 problems with a good mix of types and rigor. The pages can be separated and used both in class and partially for Homework. Transcendental functions are included. Also included is an additional assignment, which can be used as HW, a quiz, or extra credit if desired. Fully typed solutions are included for each proble
Preview of Limits Using L'Hopital's Rule, Indeterminate Forms: Lesson + Worksheet + Key

Limits Using L'Hopital's Rule, Indeterminate Forms: Lesson + Worksheet + Key

The lesson file (6 pages) introduces Calculus I students to L'Hopital's Rule ( Hospital's Rule) and many types of indeterminate forms (suitable for AP Calculus AB). The topics included are: L'Hopital's RuleIndeterminate Forms: 0/0∞/∞0*∞∞ - ∞0^01^∞∞^0Plus: many examples regarding these topics throughout. The worksheet contains 20 introduction limit problems to be solved using L'Hopital's Rule (also known as Hospital's Rule), plus the solutions. It can either be used as worksheet for classwo
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