Percent Increase and Decrease Quiz
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Programs & methods
Calculus - Studying the Behavior of Functions Graphically
Students use the graphing calculator to create graphs of f, f’, and f”, and make observations about conditions that cause f to be increasing f to be decreasing, Extrema to occur A point of inflection based upon information from various graphs. This is a great lesson for students to use prior to knowing all the analytical techniques for taking a derivative. Using the built-in features on the graphing calculator students can graph a derivative of a function and a second derivative of a f
10th - 12th, Higher Education
Calculus, Math
Calculus - Reading and Using Information from the Graph of f'
From a graph of f’ students are asked to describe where f is increasing and decreasing, the locations for all local minimums and maximums for f, locations of all absolute minimums and maximums for f, locations of all points of inflection, and to make a sketch of f and f”.
10th - 12th, Higher Education
Calculus, Math
CALCULUS: LOCAL MAXIMUM AND LOCAL MINIMUM
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
11th - 12th, Adult Education, Higher Education
Applied Math, Calculus
Also included in: BASIC CALCULUS
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
11th - 12th, Higher Education
Calculus
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
11th - 12th, Higher Education
Calculus
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,
10th - 12th, Higher Education
Calculus, PreCalculus
Calculus - How are the Graphs of f, f ', and f " interrelated?
Using the graphing calculator, students learn how the graphs of the first and second derivatives describe the behavior of the original function. The activity is composed of four parts. Students make observations based upon a series of questions about increasing, decreasing, extrema, and concavity
10th - 12th, Higher Education
Calculus, Math
Calculus-Making Observations about the Function and Its Derivatives from Graphs
This discovery activity is made up of 5 part plus a closing question. Part I: Students graph a function and its derivative. From the two graphs students observe that when the graph of the derivative of y1 is positive the graph of y1 is increasing and that when the graph of the derivative of y1 is negative the graph of decreasing. Part II: In part I students studied a function with a minimum. In this part students will repeat the same observations but with a function that has a maximum. Part II
10th - 12th, Higher Education
Calculus, Math
AP Calculus - f' Analysis Cheat Sheet
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
9th - 12th, Higher Education
Calculus
Curve Sketching Lecture (Differential Calculus 1 Lesson Notes)
This handout is meant as an in-class activity for curve sketching in a differential calculus course. The first few pages contains a review of curve sketching. The curve sketching topics covered are: domainx,y interceptshorizontal asymptotes (using limits)vertical asymptotes (using limits)increasing/decreasing (using first derivative)local max/min (first derivative test)concavity (using the second derivative)inflection pointssketch the graph of the function using all the above informationThe r
12th, Adult Education, Higher Education
Calculus, Math Test Prep
Also included in: BUNDLE: Differential Calculus 1 Lecture Notes / Lessons
Applications of Derivatives Cheat Sheet | MVT, EVT, Optimization & Related Rates
Take your students beyond basic derivatives with this powerful Applications of Derivatives Cheat Sheet for AP Calculus! This 2-sided, one-page resource clearly organizes the most important concepts from Units 4 & 5, helping students apply derivatives in real-world and exam-style situations. 📘 What’s Included:• Mean Value Theorem (MVT) • Extreme Value Theorem (EVT) • Critical points and the Candidate’s Test • Increasing & decreasing intervals • First and Second Derivative Tests • Concavity and
9th - 12th, Adult Education, Higher Education
Applied Math, Calculus, Math Test Prep
Graphs of First & Second Derivatives Identify and Match f, f', f''
In this activity students practice identifying the Graphs of a function and its first and second derivative, f, f ', and f ''. They analyze 3 graphs, one blue, one black, and one red, superimposed on the same coordinate grid, to determine which is the graph of original function, the graph of first derivative, and the graph of the second derivative. The activity does not require differentiation, but requires students to understand increasing, decreasing, relative extrema, and concavity. Man
11th - 12th, Higher Education
Calculus, Graphing
Also included in: Calculus Applications of Differentiation Unit Bundle
Limits 1 - Finding a limit using a graph worksheet and lesson
This worksheet packet will help your students learn to find the value of a limit using a graph. Graphs will be both continuous and discontinuous (containing asymptotes and holes). Click here to save by buying the entire Limits Bundle which includes a FREE review and test.Click here to view the instructional video that accompanies this work packet. This helpful packet includes five components:Instruction: Use the video (sold separately) in your classroom or use the teacher led portion of the pa
11th - 12th, Higher Education
Calculus, Graphing, PreCalculus
Limits 2 - Finding a Limit Algebraically worksheet and lesson
This worksheet packet will help your students learn to find the value of a limit algebraically by plugging in, simplifying, and rationalizing expressions. Click here to SAVE by buying the entire Limits Bundle which includes a FREE review and test.Click here to view the instructional video that accompanies this work packet. This helpful packet includes five components:Instruction: Use the video (sold separately) in your classroom or use the teacher led portion of the packet to explain the materi
11th - 12th, Higher Education
Calculus, PreCalculus
Limits 5 - Trigonometry and Special Limits worksheet and lesson
This worksheet will help your students learn to find the value of a limit involving trigonometric functions including the special limits for sine and cosine. Click here to SAVE by buying the entire Limits Bundle which includes a FREE review and test.Click here to view the instructional video that accompanies this work packet. This helpful packet includes five components:Instruction: Use the video (sold separately) in your classroom or use the teacher led portion of the packet to explain the mat
11th - 12th, Higher Education
Calculus, PreCalculus
Finding Derivatives - The Difference Quotient (worksheet and lesson)
This worksheet packet will help your students learn to find derivatives using the difference quotient formula to show that the derivative represents the slope of a curve at a point. Click here to SAVE on the derivative bundle.Click here to access the instructional video that accompanies this work packet.This helpful packet includes five components:Instruction: Use the video (sold separately) in your classroom or use the teacher led portion of the packet to explain the material to your class.Ext
11th - 12th, Higher Education
Calculus, Math
Also included in: Finding Derivatives worksheet and lesson Bundle (videos not included)
Finding Derivatives using The Power Rule (worksheet and lesson)
This worksheet packet will help your students learn to find derivatives using the power rule. Click here to SAVE on the derivative bundle.Click here to access the instructional video that accompanies this work packet.This helpful packet includes five components:Instruction: Use the video (sold separately) in your classroom or use the teacher led portion of the packet to explain the material to your class.Extra Practice: This will help your students master the necessary steps.Homework: An addi
11th - 12th, Higher Education
Calculus, Math
Also included in: Finding Derivatives worksheet and lesson Bundle (videos not included)
Limits 4 - One - Sided Limits and Limits to Infinity worksheet and lesson
This worksheet packet will help your students learn to find the value of a limit from the right or left, including those approaching asymptotes and holes. Click here to SAVE by buying the entire Limits Bundle which includes a FREE review and test.Click here to view the instructional video that accompanies this work packet. This helpful packet includes five components:Instruction: Use the video (sold separately) in your classroom or use the teacher led portion of the packet to explain the materi
11th - 12th, Higher Education
Calculus, PreCalculus
Limits 3 - Laws of Limits worksheet and lesson
This worksheet packet will help your students learn to use the laws of limits to simplify an expression in order to find the value of a limit algebraically. Click here to SAVE by buying the entire Limits Bundle which includes a FREE review and test.Click here to view the instructional video that accompanies this work packet. This helpful packet includes five components:Instruction: Use the video (sold separately) in your classroom or use the teacher led portion of the packet to explain the mate
11th - 12th, Higher Education
Calculus, PreCalculus
Finding Derivatives using the Quotient Rule (worksheet and lesson)
This worksheet packet will help your students learn to find derivatives using the Quotient Rule. Click here to SAVE on the derivative bundle.Click here to access the instructional video that accompanies this work packet.This helpful packet includes five components:Instruction: Use the video (sold separately) in your classroom or use the teacher led portion of the packet to explain the material to your class.Extra Practice: This will help your students master the necessary steps.Homework: An a
11th - 12th, Higher Education
Calculus, Math
Also included in: Finding Derivatives worksheet and lesson Bundle (videos not included)
Finding Derivatives using the Chain Rule (worksheet and lesson)
This worksheet packet will help your students learn to find derivatives using the Chain Rule. Click here to SAVE on the derivative bundle.Click here to access the instructional video that accompanies this work packet.This helpful packet includes five components:Instruction: Use the video (sold separately) in your classroom or use the teacher led portion of the packet to explain the material to your class.Extra Practice: This will help your students master the necessary steps.Homework: An addi
11th - 12th, Higher Education
Calculus, Math
Also included in: Finding Derivatives worksheet and lesson Bundle (videos not included)
Finding Derivatives using the Product Rule (worksheet and lesson)
This worksheet packet will help your students learn to find derivatives using the product rule. Click here to SAVE on the derivative bundle.Click here to access the instructional video that accompanies this work packet.This helpful packet includes five components:Instruction: Use the video (sold separately) in your classroom or use the teacher led portion of the packet to explain the material to your class.Extra Practice: This will help your students master the necessary steps.Homework: An ad
11th - 12th, Higher Education
Calculus, Math
Also included in: Finding Derivatives worksheet and lesson Bundle (videos not included)
Differentiation with Tables
This product will help your students apply the product rule, quotient rule, and chain rule then substitute values from a given table. This type of question is sometimes found on the free response section of the AP Calculus test. This helpful packet includes five components:Instruction: Use the teacher led portion of the packet to explain the material to your class.Extra Practice: This will help your students master the necessary steps.Homework: An additional set of problems you can assign fo
11th - 12th, Higher Education
Calculus, Math
Calculus Limits by Delta Epsilon Notes plus Practice
This Calculus Limits by Definition resource will help give your students a solid foundation in this difficult topic and is designed to give them fluency understanding the limit process for finding derivatives. This is an optional topic for AP Calculus. What's Included? Guided Notes on Limits by Definition with examples13 Practice problems on Limits by Definition using the basic Delta Epsilon method to find delta, given epsilon. Three problems have fully typed solutions, ready to give out t
11th - 12th, Higher Education
Calculus, Math
Also included in: Limits and Continuity Calculus Unit 1 Bundle
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