Name: Review: Using the Graph of a Derivative FRQ
Uploaded: 2020-04-28T01:00:00.000Z
Duration: T01H45M14S
Description: Survey of AP free-response questions using the graph of a derivative as a focus. Includes a conceptual summary and common misconceptions. What information can I learn from the graph of the derivative of a function? How is the graph of the derivative of a function used on AP Calculus free-response questions?

AP Calculus AB/BC

Survey of AP free-response questions using the graph of a derivative as a focus. Includes a conceptual summary and common misconceptions.

Review: Using the Graph of a Derivative FRQ

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AP Calculus AB/BC Exam Prep | Reviews +  Free Practice | Fiveable

"The limit does not exist." In unit 1 of AP Calc AB/BC, we cover everything you need to know about limits and continuity: limit notation, estimating and calculating limits, L'Hopital's Rule, squeeze theorem, theories of continuity, infinite limits, limits at infinity, and the intermediate value theorem. 

Unit 1: Limits & Continuity

Limits & Continuity

In unit 2 of AP Calc AB/BC, we introduce the derivative—definitions of the derivative, derivative rules (power rule, quotient rule, product rule, and trig rules), and differentiability of a function. With these resources, you will become a master of differentiation!

Unit 2: Differentiation: Definition & Fundamental Properties

Differentiation: Definition & Fundamental Properties

In unit 3 of AP Calc AB/BC, we dive deeper into derviatives! We will cover the derivatives of composite, implicit, and inverse functions, including inverse trigonometric functions. We'll delve into higher order derivatives, chain rule, and how to select a procedure to calculate derivatives. 

Unit 3: Differentiation: Composite, Implicit & Inverse Functions

Differentiation: Composite, Implicit & Inverse Functions

In unit 4 of AP Calc AB/BC, we'll cover derivatives as they relate to position/velocity/acceleration, rates of change, and related rates. You'll learn the contextual meaning of derivatives, approximating values using linearization, and finding limits with L'Hopital's Rule. You'll understand the real-life applications of differentiation!

Unit 4: Contextual Applications of the Differentiation

Contextual Applications of the Differentiation

In unit 5 of AP Calc AB/BC, we talk about mean value theorem, Rolle's theorem, extreme value theorem, global & local extrema, functions increasing & decreasing, first derivative test, concavity, second derivative test, and optimization problems. You'll be ready to analyze all types of graphs using the fundamentals of differentiation!

Unit 5: Analytical Applications of Differentiation

Analytical Applications of Differentiation

In unit 6 of AP Calc AB/BC, we wil cover accumulation change with definite integrals, Riemann sums, the Fundamental Theorem of Calculus, u-substitution, antiderivatives, indefinite integrals, and properties of integrals, integration by parts, and partial fraction decomposition. You'll understand the fundamentals of integration and its applications!

Unit 6: Integration and Accumulation of Change

Integration and Accumulation of Change

In unit 7 of AP Calc AB/BC, we delve into differential equations, slope fields, Euler's method, finding particular solutions using initial conditions & separation of variables, and logistic models for exponential growth and decay. With these resources, you'll develop a deeper understanding of differential equations as mathematical models.

Unit 7: Differential Equations

Differential Equations

In unit 8 of AP Calc, we dive into integration as it relates to the average value of a function, net changes, particle motion (position/velocity/acceleration), areas between curves, and volumes (with cross sections, disc method, & washer method). You'll develop a solid understanding of integration and its applications in real life!

Unit 8: Applications of Integration

Applications of Integration

In unit 9 of AP Calc BC, we review parametric equations, arc lengths, polar coordinates, vector-valued functions, and areas under polar curves. With these resources, you'll ace the AP Calc BC exam!

Unit 9: Parametric Equations, Polar Coordinates & Vector Valued Functions (BC Only)

Parametric Equations, Polar Coordinates & Vector Valued Functions (BC Only)

Let's learn about series in unit 10 of AP Calc BC. We cover infinite sequences and series, including all the divergence and convergence tests: nth term test, integral test, comparison tests, alternating series tests, and Taylor polynomials. 

Unit 10: Infinite Sequences and Series (BC Only)

Infinite Sequences and Series (BC Only)

Check out these resources for the multiple choice section of the AP Calculus exam. With helpful videos reviewing multiple choice questions, and the best strategies that will help. Covering all sorts of problems and all the topics of AP Calculus, these resources will give you a better understanding of what to expect on the AP Calculus exam.

Multiple Choice Questions (MCQ)

Learn about the structure of the free response questions on the AP Calculus exam. With helpful resources, practice problems and reviews of previous FRQs you will feel comfortable with all of the different types of FRQs. And learn about strategies to ensure that you know how to approach each FRQ no matter what topic it covers. 

Free Response Questions (FRQ)

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Exam Review 2020

Make sure to check out this question and answer section for AP Calculus! These resources will answer all the questions you have, and will help you prepare for your exam through trivia games and review sessions. 

Q & A sessions

Get a complete overview of the AP Calculus exam to help prepare for the test. Get a refresh on all the units with helpful guides, review sheets and videos, as well as helpful tips and tricks to prepare you for your exam. 

Big Reviews: Finals & Exam Prep

AP Cram Sessions 2021

Live Cram Sessions 2020

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AP Stats Exam Prep 2020 | Reviews + Free Study Help | Fiveable

AP Statistics

Dive into unit 1 of AP Statistics: Exploring One Variable Data! Start the course by learning about displaying and describing categorical data, normal distributions, and analyzing graphs. With these helpful study guides, review videos, and slides, you'll be prepared to do well on the AP exam!

Unit 1: Exploring One-Variable Data

This is an overview of unit 2 of AP Statistics: Exploring Two Variable Data. Dive into bivariate data, causation vs. correlation, residuals, and linear regression models and build upon your unit 1 knowledge!

Unit 2: Exploring Two-Variable Data

Dive into unit 3 of AP Statistics: Collecting Data! Learn how to design and plan experiments and studies and how to choose sampling data. We also go over source bias and causation vs. correlation.

Unit 3: Collecting Data

Explore unit 4 of AP Statistics: Probability. Learn all about the binomial distribution, binomial and geometric distributions, conditional probability, and mutually exclusive events!

Unit 4: Probability, Random Variables, and Probability Distributions

Master unit 5 of AP Statistics: Sampling Distributions with our extensive resources! Learn about the cental limit theorem, point estimates, and how to use sampling distributions for sample means and proportions with our resources! 

Unit 5: Sampling Distributions

Dig deep into unit 6 of AP Statistics—Inference for Categorical Data: Proportions. Set up confidence intervals and become a pro at conducting significance tests for proportions!

Unit 6: Inference for Categorical Data: Proportions

This is an overview of unit 7 of AP Statistics—inference for qualitative data: means. Build upon unit 6 and learn how to set up confidence intervals and significance tests for means! We also have resources to help you gauge when and how to use t and z tests.

Unit 7: Inference for Qualitative Data: Means

Master unit 8 of AP Statistics—inference for categorical data: chi square! With our comprehensive resources, learn how to use the chi-square statistic for hypothesis testing! We also cover how to use the formula sheet on test day.

Unit 8: Inference for Categorical Data: Chi-Square

Finish up AP Stats with unit 9\—inference for quanitative data: slopes. Learn how to set up confidence intervals and conduct significance tests for slopes of regression models! Use our resources to review important formulas and equations and become prepared for exam day!

Unit 9: Inference for Quantitative Data: Slopes

With these resources, you'll be ready to ace the multiple choice question section on the AP Statistics exam! We cover key concepts, important equations, logistics, and even exam strategies. You'll also be able to practice your skills with practice questions and be ready for exam day!

Multiple Choice Questions (MCQs)

With our resources, learn how to master the free response question section on the AP Statistics exam featuring practice prompts with student responses and teacher feedback, logistics, key concepts, and helpful tips, you'll be ready to ace the exam. We also go through the rubric and key equations. 

Free Response Questions (FRQs)

Exam Reviews 2020

Confused about something and have questions? Our comprehensive question and answer sessions are sure to help you answer those questions and prepare for the AP statistics exam! Come with your questions ready!

This is a thorough review of the AP Statistics course, including reviews of each of the units, key concepts, exam strategies, and other tips and tricks, you'll have everything you need to be prepared for any AP statistics exams!

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