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Preview of Calculus Worksheet #14: Curve Sketching

Calculus Worksheet #14: Curve Sketching

The 14th of a 20-worksheet sequence created to scaffold and support honors calculus curriculum. Covers finding intervals of increase/decrease and relative extrema; identifying intervals of concavity and points of inflection; and using these to generate accurate graphs of differentiable functions. With a focused and self-contained design, this versatile resource can be used as a small group activity, a homework assignment, a quiz, individual practice for a classwide lesson, or targeted review for
Preview of Curve Sketching - Intervals of Increase and Decrease MATCHING

Curve Sketching - Intervals of Increase and Decrease MATCHING

Created by
Mathy Matchy
MATCHING. Given 12 different functions, use the first derivative test to determine the intervals of INCREASE & DECREASE. (Versatiles make this a self checking practice activity.)
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 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 - 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 Critical Numbers, First and Second Derivatives

Critical Numbers, First and Second Derivatives

Created by
PatrickJMT
Critical Numbers, First and Second Derivatives. In this file, there are problems related to finding critical numbers, intervals of increase / decrease, local maximums and minimums, concavity and inflection points.
Preview of Derivatives -Graph Analysis Using Tables - Notes, Examples, Handout & Assignment

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
Preview of AP CALCULUS BC - 7.9 LOGISTIC DIFFERENTIAL EQUATIONS WORKSHEET

AP CALCULUS BC - 7.9 LOGISTIC DIFFERENTIAL EQUATIONS WORKSHEET

Created by
MATH WITH YOSH
This Calculus worksheet is intended for students after they have learned the 7.9 Logistic Models with Differential Equations lesson from Unit 7 (AP Calculus BC Course and Description). In this worksheet, I have included multiple choice practice problems where students apply the model for logistic growth: dy/dt=ky(a-y). Given a logistic differential equation, students will then be able to identify: 1. The limiting value (carrying capacity) 2. The graph of the solution to a logistic differential
Preview of Derivative Product and Quotient Rules WORKSHEET | Digital and Print

Derivative Product and Quotient Rules WORKSHEET | Digital and Print

Created by
Hoff Math
Calculus students will strengthen their skills with this ready-to-go worksheet, where they find derivatives using the product rule and quotient rule. This comprehensive worksheet includes a variety of exercises that progressively increase in difficulty, allowing students to practice applying the product and quotient rules to various functions. The worksheet comes with an answer key for the convenience of the teacher, and for a digital and self-checking experience, a Google Forms version is a
Preview of Calculus CURVE ANALYSIS Where is f increasing AND concave up? Dec/Conc up? Etc.

Calculus CURVE ANALYSIS Where is f increasing AND concave up? Dec/Conc up? Etc.

Created by
Amy Reed
Calculus CURVE ANALYSIS (Inc/Dec AND Concavity) First & Second Derivative Tests Worksheet consists of 10 different functions. For each of the 10 functions students are asked to find open intervals for which the function is "increasing AND concave down" or "decreasing AND concave up" etc. The functions range from polynomials to functions containing e and ln. Space is provided with each problem for students to write organized justifications for their solutions. I created this practice becaus
Preview of Power Rule Worksheet

Power Rule Worksheet

This Power Rule worksheet provides straightforward, independent practice for students learning how to differentiate functions using the Power Rule. Unlike a guided worksheet, this resource is designed for students who are ready to apply the rule on their own without structured steps or prompts. The problems increase in complexity to help build fluency and confidence while reinforcing foundational derivative skills. Perfect for classwork, homework, bell-ringers, or quick review before quizzes and
Preview of 5 INCR./DECR., RELATIVE EXTREMA, GIVEN F' IDENTIFY CHARACTERISTICS OF F

5 INCR./DECR., RELATIVE EXTREMA, GIVEN F' IDENTIFY CHARACTERISTICS OF F

Created by
MATH WITH YOSH
This Calculus worksheet is intended for students after they have learned the following topics (Unit 5 AP Calculus Course and Description): 5.3 - Determining intervals on which a function is increasing or decreasing 5.4 - Using the first derivative test to determine relative (local) extrema In this worksheet, students will practice given the graph of f', identifying the intervals of increase and decrease of f and where f has a local minimum and maximum. They will also practice given a function f,
Preview of AP Calc AB Summer Prep Work - Version 1

AP Calc AB Summer Prep Work - Version 1

The Sumer Prep Work packet contains review questions for all of the following topics along with a sample test designed to specifically target calculator and non-calculator skills. 1. Operations with Rational Numbers and Radicals 2. Understanding Radical and Rational Exponents 3. Writing the Equation of a Line 4. Solving Systems of Equations 5. Solving General Equations 6. Graphing Parent Functions 7. Transforming Functions 8. Identifying the Domain and Range of Functions 9. Identifying Extrema,
Preview of AP Calculus AB Summer Prep Work - Version 2

AP Calculus AB Summer Prep Work - Version 2

The Sumer Prep Work packet contains review questions for all of the following topics along with a sample test designed to specifically target calculator and non-calculator skills. 1. Operations with Rational Numbers and Radicals 2. Understanding Radical and Rational Exponents 3. Writing the Equation of a Line 4. Solving Systems of Equations 5. Solving General Equations 6. Graphing Parent Functions 7. Transforming Functions 8. Identifying the Domain and Range of Functions 9. Identifying Extrema,
Preview of AP Calculus AB Summer Prep Work - Version 3

AP Calculus AB Summer Prep Work - Version 3

The Sumer Prep Work packet contains review questions for all of the following topics along with a sample test designed to specifically target calculator and non-calculator skills. 1. Operations with Rational Numbers and Radicals 2. Understanding Radical and Rational Exponents 3. Writing the Equation of a Line 4. Solving Systems of Equations 5. Solving General Equations 6. Graphing Parent Functions 7. Transforming Functions 8. Identifying the Domain and Range of Functions 9. Identifying Extrema,
Preview of Limits - Algebraic Techniques Review and Quiz (2 Versions)

Limits - Algebraic Techniques Review and Quiz (2 Versions)

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 Find the Domain and Range from the graph of a function

Find the Domain and Range from the graph of a function

Created by
Easy Math
Finding the domain and Range from the graph of a given function is one of the important standard in Algebra 2 EOC. This easy to print worksheet/printable(PDF) of 4 pages contains graphs of twelve functions and space given for writing Domain and Range for each graph. Answer key (last two pages) is provided with answers given in both inequality and interval notation. It can be assigned as a homework, classwork activity, as a quiz or test. This set of questions consist pf both simple and com
Preview of HOT TOPICS Sigma Notation and Limits of Riemann Sums

HOT TOPICS Sigma Notation and Limits of Riemann Sums

This HOT TOPIC is made for your AP Calculus students to gain proficiency in their ability to interpret the definite integral as the limit of a Riemann Sum and vice versa. You will find a set of practice questions that can be used as a homework assignment, a set of TASK CARDS, and an INFOGRAPHIC that students can use as a reference tool. There is a student recording sheet for the matching task card activity and an answer key for all items. What’s included?☑ 16 practice questions that can
Preview of Limits of Trigonometric Functions WORKSHEET | Digital and Print

Limits of Trigonometric Functions WORKSHEET | Digital and Print

Created by
Hoff Math
Students will strengthen their calculus skills with this ready-to-go worksheet where they find limits of trig functions. This comprehensive worksheet includes an answer bank and a variety of exercises that progressively increase in difficulty, allowing students to practice applying the chain rule to various functions. The worksheet comes with an answer key for your convenience, and for a digital and self-checking experience, a Google Forms version is also available. Grab your copy today! Bu
Preview of Limits Using Graphs Worksheet & KEY (Calculus 1 handout)

Limits Using Graphs Worksheet & KEY (Calculus 1 handout)

This handout contains limit problems to be answered using the graph of the function.It can be used as classwork, homework, or even a quiz/test. It contains the following types of limit questions: One-sided limitsTwo-sided limitsLimits at infinity*Answer key is also included. Typed in LaTeX for a beautiful and professional look. You may also be interested in the following limit worksheets: Introduction to Limits Worksheet & KEYOne-Sided Limits Worksheet & KEYLimits at Infinity Worksheet & KEYLi
Preview of AP Calculus AB - Problem Set #7 - Integration and Accum. of Change Worksheet

AP Calculus AB - Problem Set #7 - Integration and Accum. of Change Worksheet

Created by
Sigma Pi Math
**NEW** AP Calculus AB Problem Sets! Problem Set #7 - Integration and Accumulation of Change Covers all topics in Unit 6 of AP Calculus AB CEDOne-pager (front and back)Answer key included!Part of a series of 10 problem sets (check out the BUNDLE!)Great to use as a worksheet, homework assignment, or even an in-class quiz/test!
Preview of AP Calculus AB - Problem Set #2 - Limits and Continuity Worksheet

AP Calculus AB - Problem Set #2 - Limits and Continuity Worksheet

Created by
Sigma Pi Math
**NEW** AP Calculus AB Problem Sets! Problem Set #2 - Limits and Continuity Covers all topics in Unit 1 of AP Calculus AB CEDOne-pager (front and back)Answer key included!Part of a series of 10 problem sets (check out the BUNDLE!)Great to use as a worksheet, homework assignment, or even an in-class quiz/test!
Preview of Trig Integration w/ Definite & Indefinite Integrals w/ Step-by-Step Solutions

Trig Integration w/ Definite & Indefinite Integrals w/ Step-by-Step Solutions

Revolutionize Your Calculus Lessons with Trig Integration with Definite and Indefinite Integrals - NO PREP Printable Worksheets Elevate your calculus teaching experience with this meticulously crafted NO PREP Printable Worksheets on Trigonometric Integration with Definite and Indefinite Integrals. This comprehensive resource includes 12 questions, complete with a answer key and detailed step-by-step solutions. Whether you're gearing up for homework assignments, quizzes, exams, or simply seeking
Preview of Calculus Worksheet #6: Product & Quotient Rules

Calculus Worksheet #6: Product & Quotient Rules

The 6th of a 20-worksheet sequence created to scaffold and support honors calculus curriculum. Covers the product and quotient rules for taking derivatives, recognizing the derivative as the instantaneous slope, and interpreting various other meanings of derivatives across different settings. With a focused and self-contained design, this versatile resource can be used as a small group activity, a homework assignment, a quiz, individual practice for a classwide lesson, or targeted review for exa
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