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Preview of Derivatives of Logarithmic Functions Task Cards plus Quiz HW

Derivatives of Logarithmic Functions Task Cards plus Quiz HW

Created by
Joan Kessler
Are you looking for extra practice for your Calculus students finding the Derivatives of the Logarithmic Functions? This set of 20 task cards is just what your students need to help them master and gain fluency with this challenging topic. What's Included?20 Task Cards which increase in difficulty numerically. #1 - 15 are logarithmic functions and the derivatives will use power rule, product rule, and quotient rule. #16 - 18 have bases other than e, and 19 – 20 are applications. Most problems
Preview of Derivatives of Exponential Functions Task Cards Quiz  HW

Derivatives of Exponential Functions Task Cards Quiz HW

Created by
Joan Kessler
Are you looking for extra practice for your Calculus students finding the derivatives of Exponential Functions? This set of 20 task cards is just what you want to help your Calculus students master and gain fluency with differentiating exponential functions. What's Included?2 Sets of 20 Task Cards which increase in difficulty numerically. #1 - 11 are exponential which include power rule, product rule, and quotient rule. They also include questions in the form of y = e^ax. #11-15 have bases ot
Preview of Sequences (NOT Arithmetic & Geometric)-10 Practice Pages (80 CLASIFIED Problems)

Sequences (NOT Arithmetic & Geometric)-10 Practice Pages (80 CLASIFIED Problems)

Created by
Niki Math
*The product is designed for PreCalculus through Calculus. These are 10 practice pages/sheets on sequences containing a total of 80 classified problems. Students will find the first n terms of explicitly- defined sequence (page 1, 10 problems)find the first n terms of recursively – defined sequence (page 2, 8 problems)write the explicit rule for the nth term of a given sequence (page 3, 10 problems)determine whether given sequences are monotonic (page 4, 8 problems)prove that given sequence
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 Application of Derivatives -15 Open-Ended Questions (solutions provided)

Application of Derivatives -15 Open-Ended Questions (solutions provided)

Created by
Niki Math
These are 15 open-ended carefully chosen questions concerning the following: ❄ determining intervals of increasing and decreasing (2nd , 3th and 9th problems) ❄ finding local and absolute extrema (1st , 7th and 12th problems) ❄ finding inflection points (10th and 15th problems) ❄ determining intervals of concavity (9th problem) ❄ finding the slope and the equation of the tangent and the normal lines at a point ( 5th , 8th ,11th , 13th and 14th problems) ❄ computing second and highe
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 Derivatives of Logarithmic Functions - 15 Practice Problems

Derivatives of Logarithmic Functions - 15 Practice Problems

Created by
Niki Math
These are 15 practice problems on differentiation of logarithmic functions. The first twelve of the problems are finding the first derivative of common and composite logarithmic functions. The problem 13 is finding the tangent line of a logarithmic function at a given value of x. Problems 14 and 15 are determining if a logarithmic function is increasing or decreasing at three different values of x. I hope the practice sheet gives enough room for your students to show work. The product can be use
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 Calculus First Derivative Test Maze

Calculus First Derivative Test Maze

Created by
Joan Kessler
This fun activity for the 1st Derivative Test will engage you Calculus students while studying Analytical Applications of Differentiation. Students use the 1st Derivative Test to determine if the function is increasing, decreasing, or neither at a given point. This activity is designed to be used without Graphing Calculators. There are 16 problems and students must complete 15 of them to correctly complete the maze. An answer key is included.I have also included a student show your work page
Preview of Calculus - How Can One Graph Help Describe Another Graph?

Calculus - How Can One Graph Help Describe Another Graph?

This activity incorporates the graphing calculator to help students understand how the behavior of one graph can describe the behavior of another function. Three related equations are entered in y1, y2, and y3 in the graphing calculator. • The original function is entered in y1. • An expression that represents the derivative of y1 is entered in y2. • An expression that represents the derivative of y2 is entered in y3. After graphing y1, y2, and y3 in the same window, a series of questi
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 Error Analysis: Applications of Derivatives - Part 1

Error Analysis: Applications of Derivatives - Part 1

One of the best ways for students to learn is by correcting mistakes- theirs or someone else’s. The Error Analysis of Derivative Applications will give students an opportunity to find common mistakes when determining tangent lines, critical numbers, extrema, interval of increasing and decreasing, inflection points, and concavity. Students will identify the mistake and then solve the problem correctly. Each problem is on a separate sheet, so you can mix and match to your students’ needs. The sol
Preview of Functions Big Review

Functions Big Review

Created by
Joan Kessler
Here is a comprehensive Review of Functions for Polynomial, Rational, and Piecewise defined functions. There are no trig, exponential, or log functions included. Please zoom in on the preview to make sure this resource is appropriate for your classes. Topics include: Odd and Even functions Transformations Domain and range Composition of functions Increasing and Decreasing Maximum and Minimum Inverse Functions Asymptotes Included in this resource: 4 versions of an assessment/ worksheet/stu
Preview of Lesson: The First Derivative Test

Lesson: The First Derivative Test

Students often find success with the first derivative test once they understand how to apply it. By working through the examples visually and analytically, then applying the anchor chart, students can determine where the relative extrema are located. This lesson can be used as an introduction to the first derivative test, as remediation, or as review. Concepts included in this lesson are:Determining increasing and decreasing intervals. The First Derivative Test.Relative maximum and minimum
Preview of Calculus Thanksgiving Review - "Turkey Hunting" Matching Game / Group Activity

Calculus Thanksgiving Review - "Turkey Hunting" Matching Game / Group Activity

Created by
Niki Math
Turn your Calculus review into a high-stakes, hilarious "Turkey Hunt"! 🦃🎯 Instead of a dry test, challenge your students to master the laws of derivatives while searching for the 15 "catchable" turkeys—and identifying the 3 lucky happy ones that get to stay in the field! Why this Review "Rocks" the Classroom:Comprehensive Derivative Coverage: This isn't just basic math. It covers:First, Second, and Higher-Order Derivatives.Intervals of Increasing/Decreasing functions.Critical Points & Local E
Preview of Calculus Test - Applications of Differentiation

Calculus Test - Applications of Differentiation

Created by
Infinity
This is a 12-question test on Applications of Differentiation that can also be used as homework, review, or self-teaching. * Easel Activity included. Included in this file are: 1. The chapter test with complete, detailed, teaching-oriented solutions. A student could use this to self-teach the concepts. 2. The test with answers only, no solutions. 3. The blank test with room for students' responses. 4. The blank test condensed to two pages, with no room for students' responses. This gives you the
Preview of Unit Circle Quiz, Practice, and Key

Unit Circle Quiz, Practice, and Key

Created by
KstevMath
File contains three pages: a blank unit circle quiz, a blank unit circle practice page, and a unit circle key. 2/22/2022 - fixed typo on the key 12/29/2023 - added Easel activity Please leave me a comment if you have any suggestions on how to make the Easel assignment better. I was hoping that students would be able to copy and paste the square root and pi symbols to put in the boxes, but I don't know if it actually works to do that.
Preview of Differentiation Rules Review and Quiz Calculus for Sum, Difference, Product

Differentiation Rules Review and Quiz Calculus for Sum, Difference, Product

Calculus students will complete a review with matching quiz on the rules of differentiation. Comes with many different options for meeting all of your students needs regarding sum and difference, product, quotient and chain rules for deriving functions. Includes answer key with most steps done out. ⚡AP Calc Weekly Review Problems⚡ ⭐Skills Required: 3 sum/difference2 product rule2 quotient rule3 chain rule❤️Resource is Great for: CalculusHomeschoolingTutoring⭐Includes: 30 questionsReview and qui
Preview of Optimization: Task Cards & Quiz

Optimization: Task Cards & Quiz

How do I help my students gain confidence in solving optimization word problems? These task cards offer 8 common types of optimization problems for students to practice. The guide sheet has a nine-step procedure for students to follow when solving these problems. Each task card has a solution card that you and your students may use to aid in discussion of the solutions. Finally, after the students feel confident with these 8 problems they can take the quiz, which mirrors the task cards. What
Preview of AP Calculus Quiz: trapezoidal rule and average value

AP Calculus Quiz: trapezoidal rule and average value

A quiz dealing with the trapezoidal approximation to the definite integral and the MVT for integrals. Emphasis on graphical representation and verbal interpretation. Answer KEY included. Could be used for practice and/or homework.
Preview of Polar Functions, Parametric Functions, and Vector Functions End of Unit Review

Polar Functions, Parametric Functions, and Vector Functions End of Unit Review

Created by
Joan Kessler
This comprehensive End of Unit Review for Polar Functions, Parametric Functions, and Vector Functions will give your PreCalculus and AP PreCalculus students a solid review with extra practice practice. These activities,organizers, and worksheets also make a great review for AP Calculus BC Unit 9. What's included?4 versions of the review / assessment, each with 57 well chosen representative questions. Two versions are multiple choice format and two are free response. The assessments / revi
Preview of Writing the Equation of a Tangent Line and a Normal Line (worksheet and lesson)

Writing the Equation of a Tangent Line and a Normal Line (worksheet and lesson)

This worksheet packet will help your students learn to write the equation of the line tangent to a curve by finding the derivative to determine the slope and then applying the point slope formula. Then they will use the negative reciprocal slope to write the equation of the normal line. You can access the accompanying instructional video by clicking here. This helpful packet includes five components:Instruction: Use the video (sold separately) in your classroom or use the teacher led portion
Preview of Lesson: Concavity, Inflection Points, and the 2nd Derivative Test

Lesson: Concavity, Inflection Points, and the 2nd Derivative Test

How do my students learn the significance of taking the second derivative? This introduction to determining concavity, inflection points, and using the second derivative test is easy to follow and understand. The anchor charts lead the students into determining concavity and locating inflection points. Using the second derivative test, they will also practice determining if critical numbers are relative extrema. Included in this product:· Lesson on the Second Derivative with examples. · Guide
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