Percent Increase and Decrease Quiz - Page 2
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Derivatives to Determine Function Behavior | Digital Google™ Sheets
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
10th - 12th, Higher Education
Calculus
Also included in: 12 Days of Calculus for Christmas | Digital Activities in Google™ Sheets
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
11th - 12th
Calculus
Application of Derivatives -15 Open-Ended Questions (solutions provided)
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
11th - 12th
Calculus
Also included in: THE ULTIMATE AP CALCULUS AB & BC BUNDLE (3100+ problems)
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.
10th - 12th
Calculus
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
10th - 12th, Higher Education
Calculus, Math
Also included in: Calculus - Activity Sheets - Bundle 2
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))
11th - 12th, Higher Education
Calculus, Math
Also included in: Chain Rule Activity Bundle
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.
10th - 12th
Calculus, Math
Properties of Functions and Function Library
This is an intense 28 page packet that covers topics and examples for the basics of functions
domain and range
continuity
intervals of increase and decrease
extrema
symmetry
asymptotes
x and y intercepts
end behavior
and then the following function families
linear
quadratic
cubic
square root
cube root
absolute value
reciprocal
exponential
logs
sine
cosine
greatest integer
all functions have a place for a sketch, table of values, function behavior (inc/dec/constant), end behavior, symmetry, domai
10th - 12th
Algebra 2, Calculus, PreCalculus
Curve Sketching
When to Use I’ve used this as a way to put together critical numbers, critical points, intervals of increasing and decreasing, points of inflection, and concavity as part of the same problem, resulting in sketching the curve. When I use this resource, I usually do the first curve with the students and have them do the second one on their own. How to Use When I use this resource, I usually do the first curve with the students and have them do the second one on their own, so as more of an i
10th - 12th
Calculus, Graphing
Derivative Graph Matching
Using only graphs of a function, its first derivative, and its second derivative, students will match the ideas of increasing/decreasing and concave up/concave down to the features of the function's derivative. You can also view the digital card sort version of this activity by clicking here.
11th - 12th
Calculus
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
Calculus Curve Sketching Line Them Up Activity
In this activity, students will practice working with curve sketching. Students should know how to find the maximum, minimum, intervals of increasing or decreasing, the point of inflection and intervals where a curve is concave up or concave down.
Each of these sets includes 8 questions. Students begin with any card in the set. They find the answer to that question on the top of another card. This process continues until the last card. The answer to the last card is on the top of the first
11th - 12th
Calculus, Math
Calculus_First Derivative Test Resource and Practice
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.
10th - 12th
Calculus
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.
11th - 12th, Higher Education
Calculus
AP Multiple Choice Worksheet: First Derivative
This AP Calculus worksheet is a challenging review of AP style multiple choice questions pertaining to finding relative maxima or minima and intervals where a function is increasing or decreasing. It incorporates the Product Rule, Quotient Rule, and the natural log, ln, and natural base, e. This worksheet can be used for either an in-class or homework assignment. It is recommended to be used as a summative assessment after learning applications of differentiation or for practice before the AP C
10th - 12th
Calculus, Math Test Prep
Calculus 1st First Derivative Test Digital Maze
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,
11th - 12th, Higher Education
Calculus, Math
Also included in: Calculus Digital Activity Bundle First Semester with Printables
Derivatives of Logarithmic Functions - 15 Practice Problems
These are 15 practice problems on differentiation of logarithmic functions. The first twelve of the problems are finding the first derivative of common and composite logarithmic functions. The problem 13 is finding the tangent line of a logarithmic function at a given value of x. Problems 14 and 15 are determining if a logarithmic function is increasing or decreasing at three different values of x. I hope the practice sheet gives enough room for your students to show work. The product can be use
11th - 12th
Calculus
Also included in: THE ULTIMATE AP CALCULUS AB & BC BUNDLE (3100+ problems)
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
11th - 12th, Adult Education, Higher Education
Calculus, Math Test Prep
Graphs of Derivatives Investigation
When to Use Use this activity as an introduction to the unit on curve sketching before doing any of the algebra to determine intervals of increasing, decreasing, and so on. How to Use Put students in pairs so they have one another to discuss the questions with. This is an excellent resource to use as a point of discussion and for students to notice patterns.
10th - 12th
Calculus, Graphing
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
11th - 12th, Higher Education
Calculus, Math
Also included in: AP Calculus - Units 1 thru 8 - BUNDLE of REVIEW CIRCUITS (w/ Solutions!)
AP Calculus Christmas Graphing Activity - Connecting f f' f'' - Coloring Sheet
Welcome in the holiday season with this fun review activity based on several standards from AP Calculus listed below! 5.2 Extreme Value Theorem, Global Versus Local Extrema, and Critical Points5.3 Determining Intervals on Which a Function is Increasing or Decreasing5.4 Using the First Derivative Test to Determine Relative Local Extrema5.6 Determining Concavity of Functions over Their Domains5.8 Sketching Graphs of Functions and Their Derivatives5.9 Connecting a Function, Its First Derivative, an
9th - 12th
Calculus, PreCalculus
CALCULUS 1st Semester REVIEW - "Gingerbread" Task Cards Christmas Activity
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
11th - 12th, Adult Education, Higher Education
Calculus, Math
Also included in: THE ULTIMATE AP CALCULUS AB & BC BUNDLE (3100+ problems)
Calculus Super Secret Number Puzzle - Curve Sketching
In this super secret number puzzle, students will practice finding important features of graphs by being given the original function. Students need to know how to find where functions are increasing and decreasing, where functions have maximums and minimums, where functions are concave up and down, and where functions have inflection points.
Students find the answers to each of the ten questions and then add their answers together – this is the super secret number. After a bit of time, I tell
11th - 12th
Calculus, Math
Also included in: Calculus Chain Rule, Curve Sketching, Limits & More Puzzle Bundle
Calculus: The First Derivative Test – Comprehensive "3-in-1" Practice
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
10th - 12th, Adult Education, Higher Education
Calculus, Math
Also included in: THE ULTIMATE AP CALCULUS AB & BC BUNDLE (3100+ problems)
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