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Percent Increase and Decrease Quiz - Page 5

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Preview of AP Calculus AB: Derivative Applications in the Math World Notes

AP Calculus AB: Derivative Applications in the Math World Notes

Created by
AP Calculus AB
Students will be able to justify where a function is increasing and decreasing, concave up and concave down. They will be able to justify a function’s extrema and inflection points. They will be able to apply the Extreme Value Theorem, the First Derivative Test, the Concavity Test, the Second Derivative Test, and the Mean Value Theorem. Students will be able to accurately sketch a curve given its derivative graph and sketch a curve’s derivative given its graph.
Preview of AP Calculus AB: Unit Exam Derivative Application Answer Key

AP Calculus AB: Unit Exam Derivative Application Answer Key

Created by
AP Calculus AB
Students will be able to justify where a function is increasing and decreasing, concave up and concave down. They will be able to justify a function’s extrema and inflection points. They will be able to apply the Extreme Value Theorem, the First Derivative Test, the Concavity Test, the Second Derivative Test, and the Mean Value Theorem. Students will be able to accurately sketch a curve given its derivative graph and sketch a curve’s derivative given its graph. Students will be able to use th
Preview of Test  for extrema, inc/dec intervals and concavity

Test for extrema, inc/dec intervals and concavity

Multiple choice test or practice test for finding extrema (maximums and minimums), concavity, and increasing/decreasing intervals.
Preview of Calculus - Analyzing Graph of the First Derivative

Calculus - Analyzing Graph of the First Derivative

Created by
Impwolf
Given the graph of the first derivative, analyzing the concavity and increasing/decreasing intervals of f(x)
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 First Derivative Test CIRCUIT worksheet | worked solutions | Digital and Print

First Derivative Test CIRCUIT worksheet | worked solutions | Digital and Print

Created by
Hoff Math
Students practice using the First Derivative Test to find intervals of increasing/ decreasing and coordinates of relative extrema in this self-checking CIRCUIT ACTIVITY that includes both a printable version and a digital version which can be given as homework, classwork, or extra practice. This resource covers topics 5.3 and 5.4 of the AP Calculus CED. The digital version uses Google Forms.Bundle and save! Skip the prep and grab the Calculus Course Full Curriculum Bundle. This all-in-one resou
Preview of Calculus Integration of Inverse Trig Functions plus HW

Calculus Integration of Inverse Trig Functions plus HW

Created by
Joan Kessler
This classroom resource, Integration of Inverse Trig Functions Task Cards plus Quiz/HW Graphic Organizer, will give your students extra practice with this difficult topic. Activity Based Learning with Task Cards really does work to help reinforce your lessons. Task and station cards get your students engaged and keep them motivated. Use all at once or as many as you like. Directions for using Task Cards included in this resource. Included in the Lesson: 20 Task Cards which increase in diffic
Preview of Calculus - Studying the Behavior of Functions Graphically

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
Preview of Function Analysis Chart

Function Analysis Chart

Created by
My Math Tutor
A helpful chart to determine if a function is positive, negative, increasing, decreasing, concave up, concave down, zeros, extrema, and points of inflection. This is a review sheet for a quick reference of considering the derivative to determine what behavior is true about the function. Best of all its FREE! Enjoy and feel free to check out my other calculus resources!
Preview of Calculus - Reading and Using Information from the Graph of f'

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”.
Preview of Derivatives to Determine Function Behavior | Digital Google™ Sheets

Derivatives to Determine Function Behavior | Digital Google™ Sheets

Created by
Calculus4u
Using Derivatives to Determine Function Behavior includes 5 problems requiring students to determine increasing/decreasing behavior of functions, and also concavity of functions. There is also one problem that requires students to determine inflection point(s). There are two versions with the same problems, but there are two different pictures. This Using Derivatives to Determine Function Behavior Google™ Sheets puzzle activity will be a very engaging way to have students practice as they will g
Preview of Single digit addition practice : Find the Hidden Pixel Art

Single digit addition practice : Find the Hidden Pixel Art

Created by
Sstudio sunny
students can use Google™ Sheets to solve up to 25 single-digit addition Quiz and find hidden pixel art. Click the preview to see all questions for each level. The 25-space calculation increases the basic calculation ability by addition the numbers written on the horizontal and vertical 5 cells to fill a total of 25 cells. It is composed simply, but the effect is said to be miraculous. Correct answers are marked with red text color, and students are rewarded with colored pixels that appear on hid
Preview of First Derivative Test (Discovery Activity)

First Derivative Test (Discovery Activity)

Students will discover the rules for the first derivative test by sketching functions and their derivative. Then, they will look at the sign of the first derivative when the original function is increasing, decreasing, or zero. On the back, there are definitions for relative maxes and mins, as well as absolute maxes and mins and the extreme value theorem (EVT)
Preview of Calculus: First Derivative Test: Baseball!

Calculus: First Derivative Test: Baseball!

Pair the students up. Each pair gets an answer recording sheet (page 1) and the sheet with 10 functions (page 2). Each pair cuts out the 10 function cards. For each card, the students need to use the first derivative test to determine any intervals where the function is decreasing/increasing. Also, the students should write the ordered pairs for the location of any relative minima/maxima. They can show their work on the cards but record their final answers down on the answer recording sheet
Preview of Applications of Differentiation

Applications of Differentiation

Created by
Wal San
Topics: Equations of Tangent and Normal Rolle's Theorem The Mean value Theorem for Differentiation Increase and Decrease of Functions The Extreme Values Concavity Intervals and Points of Inflection Optimization Asymptotes and Infinity Branches Studying the Behaviour of Functions This presentation is ready to be used in class by teachers. You may need to make small changes depending on the details you teach. My PowerPoint presentations give you all what you need to teach in a classroom
Preview of Application of Derivatives -15 Open-Ended Questions (solutions provided)

Application of Derivatives -15 Open-Ended Questions (solutions provided)

Created by
Niki Math
These are 15 open-ended carefully chosen questions concerning the following: ❄ determining intervals of increasing and decreasing (2nd , 3th and 9th problems) ❄ finding local and absolute extrema (1st , 7th and 12th problems) ❄ finding inflection points (10th and 15th problems) ❄ determining intervals of concavity (9th problem) ❄ finding the slope and the equation of the tangent and the normal lines at a point ( 5th , 8th ,11th , 13th and 14th problems) ❄ computing second and highe
Preview of Secret Phrase - Analysis of Derivatives

Secret Phrase - Analysis of Derivatives

A review of derivative analysis in the AP Calculus AB/BC course: intervals of increase and decrease, critical points, points of inflection, relative maximum and minimum, absolute maximum and minimum, Mean Value Theorem, linear approximation, tangent lines and concavity with parametric functions. This document has 15 different forms, and each form allows the student to convert the numerical answers to a unique secret phrase.
Preview of Parent Function Card Sort

Parent Function Card Sort

Created by
Mathwiz BP
Card sort activity for students to practice characteristics of the parent functions. domain, range, increasing, decreasing, boundedness, and extrema
Preview of Calculus - Curve Sketching Activity Sheet w Spanish Translation

Calculus - Curve Sketching Activity Sheet w Spanish Translation

This activity sheet has 10 conceptually based questions on using information about the first and second derivatives to create a sketch of a function. Students use the first derivative to decide where a function might increase, decrease, or level off. The second derivative describes where the function is concave up or down and where a point of inflection might occur. The questions are designed to be used with Advanced Placement Calculus students. A Spanish translation is included. You will
Preview of Using the Chain Rule with Graphical Information Task Cards

Using the Chain Rule with Graphical Information Task Cards

This set of 20 task cards presents students with graphical information about functions f and g. Then students are asked to consider several composite functions 1. f(g(x)) 2. g(f(x)) 3. f(x^2) 4. f(-x^2) 5. f(f(x))
Preview of AP® Precalculus Unit 3.1 Periodic Phenomena Activity

AP® Precalculus Unit 3.1 Periodic Phenomena Activity

Do you find that your AP ® Precalculus need more practice relating to periodic functions and finding the intervals for increasing, decreasing and concavity? Students will work through six problems to describe how to tell functions are periodic and then to describe the intervals for increasing, decreasing, concave up and concave down. ⭐Skills Required: Writing intervals for increasing and decreasingWriting intervals for concave up and downDetermining functions are periodic or not❤️Resource is Gr
Preview of Calculus Notes: The First Derivative and Extrema

Calculus Notes: The First Derivative and Extrema

A set of Calculus notes with an intro to the first derivative, including intervals of increasing/decreasing, relative extrema, and absolute extrema, as well as appropriate practice problems.
Preview of Graphical Inc/Dec, CU/CD, Abs Min/Max Circuit

Graphical Inc/Dec, CU/CD, Abs Min/Max Circuit

This circuit uses graphs of the derivative of a function to determine if it is increasing or decreasing, concave up or concave down, and absolute extrema. Students are also asked to justify their answers. I have found these types of problems are scarce in the traditional textbook. I hope your students enjoy this circuit as much as mine do.
Preview of Circuit Training - f, f', and f'' (calculus)

Circuit Training - f, f', and f'' (calculus)

Give your students engaging practice with the circuit format! This 16-question circuit asks students about increasing / decreasing, max/min, concavity and inflection points based on their analysis of the first and/or second derivatives. Progressive in nature, it includes quite a few polynomials, a trig function, an exponential function, a rational function, a square root function, an exponential function, and a few absolute value composite functions. Product rule and chain rule are needed on
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