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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 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 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
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 Calculus 1 (AB) Study Guide Formulas Reference Sheet 1 by Cute Calculus

Calculus 1 (AB) Study Guide Formulas Reference Sheet 1 by Cute Calculus

Created by
Cute Calculus
•••If you find this download useful, please rate 5 star!•••Examples, explanations, CALCULUS MADE SIMPLE ON ONE SHEET front and back! Designed by a lover of all things colorful and compulsive doodler, April Terrazas. Designed to print front/back and 3-hole punch. Tutoring available, DM @CuteCalculus•Difference quotient •Average Rate of Change •Constant Rule •Power Rule •Sum/Difference Rule •Constant Rule Multiple •Product/Quotient Rule •Chain Rule •Inverse Function Theorem •Derivatives of Trig F
Preview of Graph Analysis Using the 1st Derivative Notes, Examples, Handout, & Assignment

Graph Analysis Using the 1st Derivative Notes, Examples, Handout, & Assignment

This resource includes notes, examples, and assignment using the 1st derivative to analyze functions. Topics included are: · Critical Numbers · Intervals of Increase and Decrease · Relative Extrema · Absolute Extrema Function types included are: · Quadratic · Cubic · Rational · Trigonometric
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 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 Calculus 1st First Derivative Test Digital Maze

Calculus 1st First Derivative Test Digital Maze

Created by
Joan Kessler
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,
Preview of Calculus Related Rates Digital plus Print

Calculus Related Rates Digital plus Print

Created by
Joan Kessler
Here is a perfect way to assess your Calculus students' skills with Related Rates Problems. There are 8 problems including problems such as: Increasing and decreasing circles and squaresVolume with spheres Conical shapesAngle problemsThe digital version of is designed with Google Forms™ which means it is paperless and NO PREP for you and will be graded automatically for you. It is also editable. The questions in the digital resource are multiple choice. The Printable version of the questio
Preview of Calculus Board Sessions,Session 19, Integrating even and odd sines

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
Preview of Calculus Weekly Bell Ringers Math Review Problems 3 with Editable

Calculus Weekly Bell Ringers Math Review Problems 3 with Editable

Do you need a great way to start your Calculus course with bell ringers? Comes with 30 review problems on topics such as factoring, finding limits, discussing increasing and decreasing, finding basic slopes, etc. I use this with my Calculus students about a month into school as openers. Great way to get students checking solutions with a peer and creating an appropriate learning environment from day 1. They are designed to be pretty quick and be conversation starters for Derivative problems.
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 AP® Calculus AB/BC - Unit 5: Analytical Applications of Differentiation

AP® Calculus AB/BC - Unit 5: Analytical Applications of Differentiation

This resource includes one powerpoint-style lesson (example is in the preview) per section, one worksheet set with full solutions per section, one reference sheet for the unit, and one unit test for the unit with solutions. Unit 5: Analytical Applications of Differentiation5.1 The Mean Value Theorem (MVT) and Rolle's Theorem 5.2 Using the First Derivative Test (Increasing/Decreasing, Critical Points) 5.3 Using the First Derivative Test (Relative Extrema) 5.4 Using the Second Derivative Test (Con
Preview of CALCULUS 1st Semester REVIEW - "Gingerbread" Task Cards Christmas Activity

CALCULUS 1st Semester REVIEW - "Gingerbread" Task Cards Christmas Activity

Created by
Niki Math
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
Preview of Calculus: The First Derivative Test – Comprehensive "3-in-1" Practice

Calculus: The First Derivative Test – Comprehensive "3-in-1" Practice

Created by
Niki Math
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
Preview of Key Features of Functions Task Cards (Basic Level)

Key Features of Functions Task Cards (Basic Level)

Key Features of Functions Task Cards (Basic Level)This resource is a task card activity that should be used after teaching students about key features of functions like domain, range, x and y intercepts, increasing/decreasing/constant intervals, and end behavior. This task card set is good for students in Precalculus or Calculus. I like to print out and laminate the task cards and hand them around my room. Students, working in pairs or by themselves, can rotate through the stations answering ea
Preview of Key Features of Functions Task Cards (Expert Level)

Key Features of Functions Task Cards (Expert Level)

Key Features of Functions Task Cards (Expert Level)This resource is a task card activity that should be used after teaching students about key features of functions like domain, range, x and y intercepts, increasing/decreasing/constant intervals, and end behavior. This task card set is good for students in Precalculus or Calculus. I like to print out and laminate the task cards and hand them around my room. Students, working in pairs or by themselves, can rotate through the stations answering e
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 AP Calculus: The First and Second Derivative Tests Complete Lesson

AP Calculus: The First and Second Derivative Tests Complete Lesson

Created by
Grab a Pencil
This lesson introduces the First and Second Derivative Tests in the context of polynomials. (The lesson on Curve Sketching uses these tests to examine other types of functions.) The lesson begins with a review of increasing and decreasing functions as well as critical numbers. Then, the First Derivative Test is introduced, along with an application. After that, concavity and inflection points are introduced. Finally, the Second Derivative Test is shown, along with an example. This lesson is
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 AP Calculus: Curve Sketching Complete Lesson

AP Calculus: Curve Sketching Complete Lesson

Created by
Grab a Pencil
In this lesson, students gain practice in using calculus to understand the features of a graph. Students learn to identify the domain, intercepts, and symmetry of a function. They also practice using calculus to find asymptotes, intervals of increase and decrease, intervals of concavity, local extrema, and points of inflection. This lesson is appropriate for both AP Calculus AB and BC. Detailed answer keys are included. The topics covered include: -Features of a Function -Rational Function -Tr
Preview of Calculus - How are the Graphs of f, f ', and f " interrelated?

Calculus - How are the Graphs of f, f ', and f " interrelated?

Using the graphing calculator, students learn how the graphs of the first and second derivatives describe the behavior of the original function. The activity is composed of four parts. Students make observations based upon a series of questions about increasing, decreasing, extrema, and concavity
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