- Share on Facebook
- Tweet This Resource
- Pin This Resource
AP Calculus AB Unit 5: Analytical Applications of Differentiation
Fourteen lessons make up Unit 5 - Analytical Applications of Differentiation of the AP Calculus AB module. For each lesson, scholars watch a short video explaining a process and then complete provided practice problems to gain mastery. The unit begins with the Mean Value Theorem. Pupils first see the definition of the theorem and hear an explanation of it in simple terms. The helpful video then compares the Mean Value Theorem with the Intermediate Value Theorem. Subsequent lessons teach learners to use derivatives to find out how to find critical points from equations of functions that may be extrema, how to use the derivative and critical points to find where a function is either increasing or decreasing and how to find a critical point and how intervals of increasing and decreasing work together to identify local extrema. Other topics include finding the absolute maximums and minimums of a function on an interval by testing critical points and determining whether an interval is concave up or concave down using graphs and the second derivative. For the mid-unit review, scholars apply what they have learned to use the Mean Value Theorem, find extrema given the equation or graph of the derivative, and find when a function decreases. In the second part of the unit, learners find extrema and intervals of concavity of the function, sketch graphs of a function's derivative, and interpret intercepts and critical points of each graph to gain insight into the other. They determine whether a function is increasing or decreasing and its concavity and see the importance of setting up a one-variable equation. They use their knowledge of derivatives to find solutions. For the Unit 5 review, pupils review all the topics presented in Analytical Applications of Differentiation resources.
Calculus AB/BC - Using the Mean Value Theorem
Using the Mean Value Theorem (.html)
Practice Packet (.pdf)
Practice Solutions (.pdf)
Corrective Assignment 1 (.pdf)
Corrective Assignment 2 (.pdf)
Calculus AB/BC - Extreme Value Theorem, Global Versus Local Extrema, and Critical Points
Extreme Value Theorem, Global Versus Local Extrema, and Critical Points (.html)
Calculus AB/BC - Determining Intervals on Which a Function is Increasing or Decreasing
Determining Intervals on Which a Function is Increasing or Decreasing (.html)
Calculus AB/BC - Using the First Derivative Test to Determine Relative Local Extrema
Using the First Derivative Test to Determine Relative Local Extrema (.html)
Calculus AB/BC - Using the Candidates Test to Determine Absolute (Global) Extrema
Using the Candidates Test to Determine Absolute (Global) Extrema (.html)
Calculus AB/BC - Determining Concavity of Functions over Their Domains
Determining Concavity of Functions over Their Domains (.html)
Using the Second Derivative Test to Determine Extrema (.html)
Calculus AB/BC - Using the Second Derivative Test to Determine Extrema
Corrective Assignment (.pdf)
Review Solutions (.pdf)
Mid-Unit 5 Review: Analytical Applications of Differentiation (.html)
Calculus AB/BC Mid-Unit 5 Review: Analytical Applications of Differentiation
Calculus AB/BC - Sketching Graphs of Functions and Their Derivatives
Sketching Graphs of Functions and Their Derivatives (.html)
Calculus AB/BC - Connecting a Function, Its First Derivative, and Its Second Derivative
Connecting a Function, Its First Derivative, and Its Second Derivative (.html)
Calculus AB/BC - Introduction to Optimization Problems
Introduction to Optimization Problems (.html)
Calculus AB/BC - Solving Optimization Problems
Solving Optimization Problems (.html)
Calculus AB/BC Unit 5 Review: Analytical Applications of Differentiation
Unit 5 Review: Analytical Applications of Differentiation (.html)
IMAGES
VIDEO
COMMENTS
Corrective Assignment Unit 5 Find the measure of one interior angle in each regular polygon. Round your answer to the nearest tenth if necessary. 1) 2) regular 16-gon Find the measure of one exterior angle in each regular polygon. Round your answer to the nearest tenth if necessary. 3) 4) regular pentagon Solve for x. Each figure is a ...
25. A projectile is fired upwards from the ground. The height of the projectile above the ground is shown in the table to the right. Find a cubic regression model to represent the height of the projectile. Use the model to estimate the height after 3 seconds.
calc_mid-unit_5_review.pdf: File Size: 223 kb: File Type: pdf: Download File. Want to save money on printing? ... 914 kb: File Type: pdf: Download File. Corrective Assignment. calc_mid-unit_5_corrective_assignment.pdf: File Size: 229 kb: File Type: pdf: Download File
AP Calculus AB - Edit name: corrective assignment ca analytical applications of differentiation 2𝑥 apply the mean value theorem to the average rate of change on. Skip to document. ... Calc mid-unit 5 corrective assignment. Subject: AP Calculus AB. 885 Documents. Students shared 885 documents in this course. Level: AP. Info More info. AI Quiz.
End of Unit 5 CA - Analytical Applications of Differentiation 1. Calculator active problem. The first derivative of the function 𝑓 is given by 𝑓 ñ :𝑥 ; L F2 𝑥 E3𝑒 ? a m q : 8 ë ; How many points of inflection does the graph of 𝑓 have on the interval 0 𝑥 O𝜋? 2. Calculator active problem.
UNIT 5 REVIEW. Need a tutor? Click this link and get your first session free! Review . To purchase this lesson packet, or lessons for the entire course, please click here. Review solutions are now available for purchase! click here. Corrective Assignment. pc_unit_5_ca.pdf: File Size:
Unit 1 Review. Work in groups to discuss the review. Do the 2nd review on flippedmath.com called "corrective assignment" . Test Unit 1. 2.1 Function Introduction. 2.2 Domain & Range Graphically. 2.3 Limits Graphically. 2.4 Limits to Infinity. Unit 2 Review.
Mid‐Unit 5 CA - Analytical Applications of Differentiation 1. Apply the Mean Value Theorem to 𝑦𝑥 7 F2𝑥 6 F3 to find when the instantaneous rate of change will equal the average rate of change on the interval >0,2 ? 2. Calculator active problem. The first derivative of the function 𝑓 is given by 𝑓 ñ :𝑥 ; L a m q . ë ë F 5 9
UNIT 5 REVIEW Need a tutor? Click this link and get your first session free! Review . review_geo_unit_5_complete.pdf: File Size: 910 kb: File Type: pdf: Download File. Corrective Assignment. ca_unit_5.pdf: File Size: 667 kb: File Type: pdf: Download File. ca_unit_5_answers.pdf: File Size:
4. 66 37 T U45 U 6 5. F T 812 T32 Solve each of the equations. Give exact answers and find ALL solutions (real and imaginary). 6. 6 T 74 T38 T 7. T 79 T 64 T 6 F T5 8. T 95 T F4 T 7 9. 7Use long division to divide :14 T8 T 6 ; by :2 E2 ;. 10. Is : T E7 ; 8a factor of 9 : T4 T21 T 72 T E
©x 02u0 S1w2Q lKGust Vaw uSNo7f3t YwEaMrve Q vLiLnCZ.r Y pA6lfl P Grri Qg9h LtFse BrDeGs0e pr1vHe9d p.z W kMRayd Seo 4w wi Ktyh V qI 7nEfvi zn jiyt3e C QAIl wgte Pb pr6a Z P2J.T-4-Worksheet by Kuta Software LLC Answers to 5.1 Corrective Assignment (ID: 1)
UNIT 5 REVIEW Graph Linear Equations and Functions. Need a tutor? Click this link and get your first session free! Review . a1_unit_5_review.pdf: File Size: 72 kb: File Type: pdf: Download File. Corrective Assignment. unit_5_ca.pdf: File Size: 890 kb:
They determine whether a function is increasing or decreasing and its concavity and see the importance of setting up a one-variable equation. They use their knowledge of derivatives to find solutions. For the Unit 5 review, pupils review all the topics presented in Analytical Applications of Differentiation resources. 73 Items 13 Saves. Concepts.
Mid‐Unit 5 Review - Analytical Applications of Differentiation Lessons 5 through 5. Reviews do NOT cover all material from the lessons but will hopefully remind you of key points. To be prepared, you must study all packets from Unit 5. 1. If 𝑦 ൌ െ 2 𝑥 ଶ 4 𝑥 3 apply the Mean Value Theorem to find when the instantaneous ...
UNIT 5 REVIEW. Need a tutor? Click this link and get your first session free! Review . a2_unit_5_review.pdf: File Size: 175 kb: File Type: pdf: Download File. Corrective Assignment. a2_unit_5_ca.pdf: File Size: 890 kb: File Type: pdf: Download File. CA Solutions. unit_5_ca_answers.pdf: File Size:
View pc_unit_5_ca.pdf from MATH PRECAL at Northwood High School, Silver Spring. Pre‐Calculus - Unit 5 Name: _ Date:_ Period: _ Unit 5 Corrective Assignment - Polynomials Pre‐Calculus 1. 10 7 10
Section 5.2 Parallelogram Properties. G.3.2: Describe, classify, and explain relationships among the quadrilaterals square, rectangle, rhombus, parallelogram, trapezoid, and kite; G.3.4: Determine the sum of both the interior and exterior angle measures of a polygon.
A1.3.2 Describe and calculate the slope of a line given a data set or graph of a line, recognizing that the slope is the rate of change; A1.3.4 Identify rates of change (slope) and distinguishing properties of data from tables, graphs, and equations to predict what happens to one variable as another variable changes; A1.3.5 Describe and analyze lines that have positive, negative, zero and ...
Write the equation of the regression curve. Use your equation to predict the value of the Beanie Baby in 1999. Find the average rate of change from 2000 to 2010. 4. is inversely proportional to the square of. If. 80 when. 5, find when.
Section 5.3 Solving Quadratics by Factoring. A2.1.4 Determine rational and complex zeros for quadratic equations; A2.5.1 Determine whether a relationship is a function and identify independent and dependent variables, the domain, range, roots, asymptotes and any points of discontinuity of functions. (use paper and pencil methods and/or graphing ...
Section 2.5 Writing Equations of Lines. A2.5.5 Determine the equation of a function as a variation or transformation of the general form of the equation for the basic. family of the function; Traditional Algebra 2 - 2.5 Write Equations of Lines. Watch on.
To purchase this lesson packet, or lessons for the entire course, please click here .
9.1 Exponential Growth. A2.3.3 Explain and use the laws of fractional and negative exponents, understand exponential functions, and use these functions in problems involving exponential growth and decay. A2.3.4 Graph an exponential function of the form f (x) = ab^x. A2.5.3 Describe the translations and scale changes of an exponential function ...