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Preview of Analytical Applications of Differentiation (AP Calculus AB - Unit 4)

Analytical Applications of Differentiation (AP Calculus AB - Unit 4)

Created by
Math Lion
Analytical Applications of Differentiation Calculus Unit Bundle:This is a bundle with guided notes, PowerPoints aligned with the guided notes, additional practice (homework), mid-unit quiz, unit test, unit review, and unit pacing guide for Analytical Applications of Differentiation (Unit 4). This unit contains 6 lessons. Lesson 4.1: Using the Mean Value TheoremLesson 4.2: Extrema on an IntervalLesson 4.3: Increasing and Decreasing Intervals and The First Derivative TestLesson 4.4: Concavity and
Preview of AP Calculus Quarter 3 - Powerpoint Lessons, Notes & Worksheets

AP Calculus Quarter 3 - Powerpoint Lessons, Notes & Worksheets

Created by
Hybrid Learning
This is the 3rd QUARTER of the entire full year of powerpoint presentation lessons, notes, worksheets and google slides activities. Some things have answer keys and other don't. AP Calculus Course Curriculum Content: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
Preview of Derivatives and Motion Problems | Kinematics Calculus Worksheet + Answers

Derivatives and Motion Problems | Kinematics Calculus Worksheet + Answers

Created by
STEMora
Engage your Year 11 ATAR Mathematics Methods students with this comprehensive Applications of Derivatives to Kinematics worksheet. Designed to build confidence in applying calculus to motion problems, this resource includes a wide range of questions from straightforward calculations to applied problem-solving and mixed challenges. What’s Inside: Part A: Fundamental differentiation practice with displacement, velocity, and acceleration. Part B: Real-world applied kinematics problems (cars, ball
Preview of Increasing Decreasing Rolle's Theorem

Increasing Decreasing Rolle's Theorem

Created by
Betty Watson
Worksheet involving increasing, decreasing functions, Extrema, Mean Value Theorem and Rolle's TheoremThis work by Betty Watson is licensed under a Creative Commons Attribution-Noncommercial 3.0 United States License. Betty Watson
Preview of Graph Analysis with the 1st Derivative Practice (Editable)

Graph Analysis with the 1st Derivative Practice (Editable)

Problem types: Intervals of increase and decreaseRelative extremaAbsolute extremaDerivative rules needed: Power ruleQuotient ruleChain rule
Preview of Calculus Curve Sketching

Calculus Curve Sketching

Given functions, students are asked to determine intervals of increase and decrease, maximums, minimums, intervals of concavity, and points of inflection.
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 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 AP Calculus AB: Curve Sketching and Particle Motion Notes

AP Calculus AB: Curve Sketching and Particle Motion Notes

Created by
AP Calculus AB
Students will be able to accurately sketch a curve given its derivative as well as connect the amount of increase and decrease to an integral. Students will be able to apply integrals to particle motion problems.
Preview of Derivatives Graph Analysis Using Tables: Notes, Ex, Handout & Assign (Editable)

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
Preview of Properties of Functions Practice

Properties of Functions Practice

Created by
MathMUDtician
This worksheet uses piecewise graphs to practice all of the major features and properties of functions, and includes an answer key. Topics covered are: interval notation, domain, range, increasing, decreasing, constant, extrema, continuity, and types of discontinuities.
Preview of Pi Day Trivia Activity:  Graph Analysis Using 1st Derivative (editable)

Pi Day Trivia Activity: Graph Analysis Using 1st Derivative (editable)

Students will use the 1st derivative to answer 20 graph analysis questions in each section . The correct graph analysis answers will lead to the correct answers to trivia questions related to pi. Sections include: finding critical numbersfinding intervals of increase and/or decreasefinding relative extremafinding absolute extrema
Preview of Limits - Algebraic Techniques Review and Quiz (2 Versions) - Editable

Limits - Algebraic Techniques Review and Quiz (2 Versions) - Editable

Skills Included: Evaluating limits by factoringEvaluating limits using the conjugateEvaluating limits of complex fractionsEvaluating limits involving infinityReview and Quiz Layout Review: 14 free response questionsQuizzes: 7 free response questions, 2 bonus question
Preview of Product and Quotient Rules Quiz

Product and Quotient Rules Quiz

Created by
Vanessa Moon
This is a 6 question quiz designed to access students ability to apply the product and quotient rules to derivatives. It also includes a derivative of one of the 6 trigonometric functions. This quiz contains no chain rule.
Preview of Calculus Quiz - Derivatives - Derivative rules & Equation of Tangent Line(2)

Calculus Quiz - Derivatives - Derivative rules & Equation of Tangent Line(2)

This Calculus quiz is on derivative rules: power rule, product rule, quotient rule, chain rule, as well as problems on finding the equation of the tangent line. Check out my other listings to get the worked out solution key for this quiz and alternate versions.
Preview of Calculus Quiz - Derivatives - Derivative rules & Equation of Tangent Line

Calculus Quiz - Derivatives - Derivative rules & Equation of Tangent Line

This Calculus quiz is on derivative rules: power rule, product rule, quotient rule, chain rule, as well as problems on finding the equation of the tangent line. Check out my other listing to get the worked out solution key for this quiz.
Preview of Limit Quiz

Limit Quiz

Created by
Nicole Keith
Quiz on the following topics: - Finding limits graphically - Determine if a graph is continuous at a point - Finding limits of piece wise functions - Finding limits using direct substitution and factoring
Preview of Derivatives Quiz (Constant, Sum/Diff, Power, Product, Quotient Rules)

Derivatives Quiz (Constant, Sum/Diff, Power, Product, Quotient Rules)

Created by
Chloefficient
This beginning derivatives quiz covers the constant, sum, difference, power, product, and quotient rules. It does NOT have trigonometric, exponenential, or logarithmic functions and the Chain Rule is not needed.
Preview of Limits Quiz (Calculus)

Limits Quiz (Calculus)

This is a quiz on limits that can be used in a Precalculus or Calculus class.
Preview of Pre-Calculus - Solving Radical Equations and Inequalities - EDITABLE

Pre-Calculus - Solving Radical Equations and Inequalities - EDITABLE

This is a short worksheet/quiz for a Pre-Calculus class that covers solving different types of radical equations and inequalities. Answer sheet also included.
Preview of Limits and Piecewise Functions

Limits and Piecewise Functions

This worksheet asks the student to graph a piecewise function in four pieces. The function includes linear and quadratic equations and has discontinuity. The students are then asked to find five different limits including a limit from the right and the limit as x approaches a value not shown on the graph. This document is great for group work, a quiz, or going through an example with the class.
Preview of Quiz:  The Chain Rule

Quiz: The Chain Rule

Created by
Chloefficient
This quiz will require students to use the Chain Rule (sometimes multiple times), along with the product and quotient rules. Students must also know the derivatives of the six trig functions.
Preview of Basic Differentiation Multiple Choice Questions and answers

Basic Differentiation Multiple Choice Questions and answers

Created by
Leanne Wilson
A quick quiz, 16 questions, useful for testing methods of differentiation skills. Includes some logs, exponentials and trig.
Preview of Pre-Calculus Chapter 1 Quiz - Real Numbers, Relations, etc. EDITABLE

Pre-Calculus Chapter 1 Quiz - Real Numbers, Relations, etc. EDITABLE

This is a brief, editable quiz for a Pre-Calculus Class and covers Real Numbers, Number Relations, Functions, Mathematical Patterns, and Arithmetic Sequences. Answer Key Included.
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