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Preview of Unit 5 Calculus Analytical Applications of Derivatives Lesson & Worksheets

Unit 5 Calculus Analytical Applications of Derivatives Lesson & Worksheets

Created by
Hybrid Learning
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 A
Preview of AP CALCULUS AB - 5.9 CONNECTING F(X) WITH ITS 1ST & 2ND DERIVATIVES WORKSHEET

AP CALCULUS AB - 5.9 CONNECTING F(X) WITH ITS 1ST & 2ND DERIVATIVES WORKSHEET

Created by
MATH WITH YOSH
This Calculus worksheet is intended for students after they have learned the 5.9 AP Calculus AB Topic: "Connecting a Function, Its First Derivative, and Its Second Derivative." When given the graph of f', often times my students struggle with identifying where the graph of f has a local minimum or maximum, where f is increasing/decreasing, or identifying where the graph of f is concave up/down, or has a point of inflection. Similarly, when given the graph of f'', they tend to struggle with ide
Preview of IB Math Applications & Interpretation SL Notes - Unit 5 Calculus

IB Math Applications & Interpretation SL Notes - Unit 5 Calculus

Created by
Jack McRobert
This resource has handwritten notes for the fifth topic of the new Applications and Interpretations SL course, for first exams in 2021. There will be significant overlap with the A & A Topic 5, and this is a subset of A & I HL Topic 5. I wrote and sold notes for the current IB courses, which have been fairly successful, so I am in the process of writing notes for the new courses, from scratch. My hope is that you will have a look at this free download, and if it seems like it would be helpful, p
Preview of Expansive Sequences and Series Lesson

Expansive Sequences and Series Lesson

Created by
Kendon Black
This is a thorough lesson on sequences and series. Although it does not include all of the convergence tests. (Those are in the next document.) The document focuses on definitions of various terms, types of series, and there properties. It includes 18 example problems. Topics tackled include sequence notation, series notation (summation notation), writing the terms of a sequence given the definition and vice versa, recursively-defined sequences, bounds, increasing/decreasing/non-increasing/non-d
Preview of Increasing + Decreasing vs. Positive + Negative Roller Coaster Ride

Increasing + Decreasing vs. Positive + Negative Roller Coaster Ride

Increasing & Decreasing vs. Positive + Negative Roller Coaster Google Slides Activity Students will identify the intervals of increasing and decreasing on a variety of polynomials that have been adapted to look like roller coasters. This is a great reminder for students to read the graph from left to right and helps them get used to identifying the correct intervals. Great for Distance Learning! Check out the other Roller Coaster Activities!
Preview of AP Calculus Turkey Trot - Limits, Derivatives Scavenger Hunt Project

AP Calculus Turkey Trot - Limits, Derivatives Scavenger Hunt Project

Created by
Stacey Garrity
A fun QR way of reviewing limits and derivatives! Students embark on a scavenger hunt for 22 turkeys with calc questions + 7 bonus turkeys with fun questions. Each turkey has a unique QR code that will link to a calculus question. 22 turkeys have questions on the following topics: - Limits (graphically, algebraically) - Continuity - Slope of a tangent line - Derivatives ---Power rule ---Chain rule ---Trig ---Implicit differentiation ---Related rates ---Extrema ---Increasing/Decreasing ---Con
Preview of Interpreting the Derivative's Graph: A Calculus Discovery Activity

Interpreting the Derivative's Graph: A Calculus Discovery Activity

Created by
All About STEM
Using what they already know about derivatives and curve sketching vocabulary, students will be guided through a team discovery of how to interpret the graph of a derivative! All they need is one graphing calculator per group and a few colored pencils or highlighters! Students will use technology to aid in the sketching of three functions and will be asked to identify the following for each function: Intervals where positive/negativeIntervals of increasing/decreasingIntervals of concave up/con
Preview of Calculus - Utilizing Information Presented Graphically

Calculus - Utilizing Information Presented Graphically

Created by
Lisa Jones
Students will review the Fundamental Theorem of Calculus and properties of definite integrals, increasing/decreasing, cavity, writing the equation of a circle and a tangent line while completing these activities.
Preview of CALCULUS Extrema Increasing/Decreasing-Max/Min Practice-First Derivative Test

CALCULUS Extrema Increasing/Decreasing-Max/Min Practice-First Derivative Test

Created by
Amy Reed
This Calculus practice focuses on the First Derivative Test and finding the intervals of increasing/decreasing and maxima/minima for functions. The levels of the problems range from beginner to Advanced Placement. Some problems ask students to find the value(s) of x for which the function obtains its maximum or minimum. Other problems ask students to find the maximum or minimum points to remind them to substitute the max and min x-values back into the original function to find what the extrem
Preview of Applications of Differentiation Lesson 3 of 7

Applications of Differentiation Lesson 3 of 7

This lesson covers finding extrema on an open interval and the first derivative test (increasing, decreasing and extrema). It also covers given the graph of a function, sketching the derivative.
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 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 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 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 IB Math SL - Applications of Derivatives Problem Set

IB Math SL - Applications of Derivatives Problem Set

This problem set is for applications of derivatives. The main topics of the notes revolve around increasing/decreasing functions, local minimums and maximums, concavity, points of inflection, kinematics, and optimization.
Preview of CURVE SKETCHING SUMMARY SHEETS

CURVE SKETCHING SUMMARY SHEETS

This is a four page document summarizing sketching polynomial,radical and rational functions. They include domain and range, intercepts, symmetry, intervals of increase or decrease, local maxima or minima, intervals of concavity, points of inflection, vertical, horizontal, slant and parabolic asymptotes. All of my math summary sheets (15) can be found in one PDF file.
Preview of Calculus Notes Bundle: Applications and Techniques of Differentiation Unit

Calculus Notes Bundle: Applications and Techniques of Differentiation Unit

A bundle of calculus notes containing notes on L'Hospital's Rule, implicit differentiation, the first derivative (intervals of increasing/decreasing, critical points) and extrema (relative and absolute), the second derivative (inflection points and concavity) and relating derivatives (f, f', and f"), derivatives in context and applications of derivatives (with rectilinear motion), local linearization, and optimization, all with appropriate practice problems.
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