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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, 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 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 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 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
Preview of Applications of Derivatives: Maximum Velocity of a Cough

Applications of Derivatives: Maximum Velocity of a Cough

This is created to be an in class assignment graded assignment, which will take approximately 25 minutes depending on the skill levels of the students. The answer key/scoring guidelines are attached at the end of the worksheet. The worksheet should be used after Increasing and Decreasing Functions and the First Derivative Test are taught.
Preview of AP Calculus - f' Analysis Cheat Sheet

AP Calculus - f' Analysis Cheat Sheet

Created by
Bird's Eye Math
Help your students organize their thoughts of f' Analysis using thiHelp your students stay organized and master the fundamentals of calculus with this comprehensive, one-page f' Analysis Cheat Sheet. Perfect for AP Calculus students, this resource provides clear and concise explanations of critical points, increasing and decreasing functions, concavity, inflection points, and relative maximums and minimums using both the first and second derivative tests and how to justify them effectively! Key
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 First Derivative Test Circuit for Intervals of Inc/Dec and Relative Extrema

First Derivative Test Circuit for Intervals of Inc/Dec and Relative Extrema

First Derivative Test Circuit for Intervals of Inc/Dec and Relative Extrema is a no prep and self-checking activity for your calculus students! Using this circuit will give your students lots of practice with the applying the first derivative test to find critical points, relative extrema and intervals of increasing or decreasing. This First Derivative Test Circuit includes 16 problems. Students will see both equations and first derivative graphical representations. Questions in the circuit
Preview of Calculus Board Sessions,Session 12,Maximum.minimum,particle motion

Calculus Board Sessions,Session 12,Maximum.minimum,particle motion

In this Board Session students will… -get some exponent and trig practice -find derivatives -find "c" using the Mean Value Theorem -apply derivatives to path of a particle -work with Maximums, minimums, over a closed interval -work with using a derivative to determine when a function is increasing and decreasing 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 tr
Preview of Advanced Curve Sketching Practice — Calculus AB/Calculus 1

Advanced Curve Sketching Practice — Calculus AB/Calculus 1

Transform curve sketching from a memorized checklist into a meaningful reasoning process. This Calculus AB practice packet gives students 10 full curve-sketching problems that build conceptual understanding through progressively challenging function types — polynomial, rational, trigonometric, logarithmic, exponential, and piecewise. Each question leads students through: Domain and range reasoning Continuity and differentiability Critical points and increasing/decreasing intervals Concavi
Preview of Calculus First & Second Derivative Tests Matching Activity Game

Calculus First & Second Derivative Tests Matching Activity Game

Created by
Qwizy
Calculus First & Second Derivative Tests Matching Games are the perfect activities for your students to sharpen their understanding of an application of derivatives. Students will perform the first and second derivative tests to analyze functions (quadratics, cubics, quartics, rationals, & equations with rational exponents) to find critical points, intervals of increasing/decreasing values, inflection points, and intervals of concavity. This product contains 5 Different Easter Matching Card
Preview of Thanksgiving Calculus First & Second Derivative Tests Matching Activity

Thanksgiving Calculus First & Second Derivative Tests Matching Activity

Created by
Qwizy
Thanksgiving: Calculus First & Second Derivative Tests Matching Games are the perfect activities for your students to sharpen their understanding of an application of derivatives. Students will perform the first and second derivative tests to analyze functions (quadratics, cubics, quartics, rationals, & equations with rational exponents) to find critical points, intervals of increasing/decreasing values, inflection points, and intervals of concavity. This product contains 5 Different Thanksg
Preview of Christmas Calculus First & Second Derivative Tests Matching Activity

Christmas Calculus First & Second Derivative Tests Matching Activity

Created by
Qwizy
Christmas: Calculus First & Second Derivative Tests Matching Games are the perfect activities for your students to sharpen their understanding of an application of derivatives. Students will perform the first and second derivative tests to analyze functions (quadratics, cubics, quartics, rationals, & equations with rational exponents) to find critical points, intervals of increasing/decreasing values, inflection points, and intervals of concavity. This product contains 5 Different Christmas Ma
Preview of Spring: Calculus First & Second Derivative Tests Matching Games

Spring: Calculus First & Second Derivative Tests Matching Games

Created by
Qwizy
Spring: Calculus First & Second Derivative Tests Matching Games are the perfect activities for your students to sharpen their understanding of an application of derivatives. Students will perform the first and second derivative tests to analyze functions (quadratics, cubics, quartics, rationals, & equations with rational exponents) to find critical points, intervals of increasing/decreasing values, inflection points, and intervals of concavity. This product contains 5 Different Spring Matchi
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