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Unit 2 FRQ Explanation

Unit 2 FRQ Explanation

Unit 1 FRQ Test Examples

Unit 1 FRQ Test Examples

Creating the Inverse of Complex Functions

Creating the Inverse of Complex Functions

Quickly Write the Equation for a Piecewise Function

Quickly Write the Equation for a Piecewise Function

Quickly Graph a Piecewise Function

Quickly Graph a Piecewise Function

Graphing Cube Root Functions on DeltaMath Graphing Calculator

Graphing Cube Root Functions on DeltaMath Graphing Calculator

2 Ways to do a Definite Integral with U-Substitution

2 Ways to do a Definite Integral with U-Substitution

4.7 Using L’Hospital’s Rule for Determining Limits of Indeterminate Forms

4.7 Using L’Hospital’s Rule for Determining Limits of Indeterminate Forms

4.6 Approximating Values of a Function Using Local Linearity and Linearization

4.6 Approximating Values of a Function Using Local Linearity and Linearization

4.5d Solving Related Rates Problems - Cone Problem

4.5d Solving Related Rates Problems - Cone Problem

4.5c Solving Related Rates Problems - Shadow Problem

4.5c Solving Related Rates Problems - Shadow Problem

4.5b Solving Related Rates Problems

4.5b Solving Related Rates Problems

4.5a Solving Related Rates Problems - Ladder Problem

4.5a Solving Related Rates Problems - Ladder Problem

4.4 Introduction to Related Rates

4.4 Introduction to Related Rates

Exploring Derivatives on Desmos

Exploring Derivatives on Desmos

4.3 Rates of Change in Applied Contexts Other Than Motion

4.3 Rates of Change in Applied Contexts Other Than Motion

4.2d Straight Line Motion Connecting Position, Velocity, and Acceleration

4.2d Straight Line Motion Connecting Position, Velocity, and Acceleration

4.2c Straight Line Motion Connecting Position, Velocity, and Acceleration

4.2c Straight Line Motion Connecting Position, Velocity, and Acceleration

4.2b Straight Line Motion Connecting Position, Velocity, and Acceleration

4.2b Straight Line Motion Connecting Position, Velocity, and Acceleration

4.2a Straight Line Motion Connecting Position, Velocity, and Acceleration

4.2a Straight Line Motion Connecting Position, Velocity, and Acceleration

4.1 Interpreting the Meaning of the Derivative in Context

4.1 Interpreting the Meaning of the Derivative in Context

3.6 Calculating Higher Order Derivatives copy

3.6 Calculating Higher Order Derivatives copy

3.5 Selecting Procedures for Calculating Derivatives

3.5 Selecting Procedures for Calculating Derivatives

3.4 Differentiating Inverse Trigonometric Functions

3.4 Differentiating Inverse Trigonometric Functions

3.3 Differentiating Inverse Functions

3.3 Differentiating Inverse Functions

3.2b Implicit Differentiation at a Point

3.2b Implicit Differentiation at a Point

3.2a Implicit Differentiation

3.2a Implicit Differentiation

3.1e The Chain Rule

3.1e The Chain Rule

3.1c The Chain Rule

3.1c The Chain Rule

3.1d The Chain Rule

3.1d The Chain Rule

3.1b The Chain Rule

3.1b The Chain Rule

3.1a The Chain Rule

3.1a The Chain Rule

2.10 Finding the Derivatives of Tangent, Cotangent, Secant, and/or Cosecant Functions

2.10 Finding the Derivatives of Tangent, Cotangent, Secant, and/or Cosecant Functions

2.9d Using Quotient Rule and Specific Values at a Point

2.9d Using Quotient Rule and Specific Values at a Point

2.9b Using Quotient Rule at a Point

2.9b Using Quotient Rule at a Point

2.9c Using Quotient Rule to find a Slope of Zero

2.9c Using Quotient Rule to find a Slope of Zero

2.9a The Quotient Rule

2.9a The Quotient Rule

2.8c Using Product Rule given Specific Values

2.8c Using Product Rule given Specific Values

2.7 Derivatives of sin x, cos x, ex, and ln x

2.7 Derivatives of sin x, cos x, ex, and ln x

2.8a The Product Rule

2.8a The Product Rule

2.8b Using Product Rule given Graphs of Functions

2.8b Using Product Rule given Graphs of Functions

2.6b Derivative Rules: Constant, Sum, Difference, and Constant Multiple at a Point

2.6b Derivative Rules: Constant, Sum, Difference, and Constant Multiple at a Point

2.6a Derivative Rules: Constant, Sum, Difference, and Constant Multiple

2.6a Derivative Rules: Constant, Sum, Difference, and Constant Multiple

2.5a Applying the Power Rule

2.5a Applying the Power Rule

2.5b Applying the Power Rule at a Point

2.5b Applying the Power Rule at a Point

2.4c Determining when Derivatives Do Not Exist given a Graph

2.4c Determining when Derivatives Do Not Exist given a Graph

2.4b Finding Differentiability and Continuity of a Piecewise Function

2.4b Finding Differentiability and Continuity of a Piecewise Function

2.4a Connecting Differentiability and Continuity: Determining When Derivatives Do and Do Not Exist

2.4a Connecting Differentiability and Continuity: Determining When Derivatives Do and Do Not Exist

2.3b Using Technology to find Derivatives at a Point

2.3b Using Technology to find Derivatives at a Point

2.3a Estimating Derivatives of a Function at a Point

2.3a Estimating Derivatives of a Function at a Point

2.2d Understanding that the Derivative gives Slopes of the Tangent Line

2.2d Understanding that the Derivative gives Slopes of the Tangent Line

2.2c Using the Limit Process to take the Derivative

2.2c Using the Limit Process to take the Derivative

2.2b Understanding that the Derivative of a Function is the Limit of a Difference Quotient

2.2b Understanding that the Derivative of a Function is the Limit of a Difference Quotient

2.2a Defining the Derivative of a Function and Using Derivative Notation

2.2a Defining the Derivative of a Function and Using Derivative Notation

2.1a Defining Average and Instantaneous Rates of Change at a Point

2.1a Defining Average and Instantaneous Rates of Change at a Point

2.1b Average Rate of Change on an Interval

2.1b Average Rate of Change on an Interval

Overview of AP Calculus Unit 2 - Differentiation: Definition and Fundamental Properties

Overview of AP Calculus Unit 2 - Differentiation: Definition and Fundamental Properties

Overview of AP Calculus Unit 1 - Limits and Continuity

Overview of AP Calculus Unit 1 - Limits and Continuity

1.16b Working with the Intermediate Value Theorem (IVT)

1.16b Working with the Intermediate Value Theorem (IVT)

1.16a What is the Intermediate Value Theorem (IVT)?

1.16a What is the Intermediate Value Theorem (IVT)?

1.15g Finding Horizontal Asymptotes - Exponential and Logarithmic Functions

1.15g Finding Horizontal Asymptotes - Exponential and Logarithmic Functions

1.15h Creating Rational Functions with Specific Horizontal and Vertical Asymptotes

1.15h Creating Rational Functions with Specific Horizontal and Vertical Asymptotes

1.15f Horizontal Asymptotes - Trig Functions

1.15f Horizontal Asymptotes - Trig Functions

1.15e Finding Horizontal Asymptotes

1.15e Finding Horizontal Asymptotes

1.15a Connecting Limits at Infinity and Horizontal Asymptotes

1.15a Connecting Limits at Infinity and Horizontal Asymptotes

1.15b Limits at Infinity

1.15b Limits at Infinity

1.15d Connecting Limits at Infinity and Horizontal Asymptotes

1.15d Connecting Limits at Infinity and Horizontal Asymptotes

1.15c Limits at Infinity - Radical Denominators

1.15c Limits at Infinity - Radical Denominators

1.14c Finding Vertical Asymptotes

1.14c Finding Vertical Asymptotes

1.14d Finding Vertical Asymptotes - Trig Functions

1.14d Finding Vertical Asymptotes - Trig Functions

1.14b Connecting Infinite Limit and Vertical Asymptotes - Using a Table of Values

1.14b Connecting Infinite Limit and Vertical Asymptotes - Using a Table of Values

1.13 Removing Discontinuities - Piecewise Functions

1.13 Removing Discontinuities - Piecewise Functions

1.12b Confirming Continuity over an Interval - Piecewise Function

1.12b Confirming Continuity over an Interval - Piecewise Function

1.14a Connecting Infinite Limit and Vertical Asymptotes

1.14a Connecting Infinite Limit and Vertical Asymptotes

1.12a Confirming Continuity over an Interval

1.12a Confirming Continuity over an Interval

1.11c Defining Continuity at a Point

1.11c Defining Continuity at a Point

1.9 Connecting Multiple Representations of Limits

1.9 Connecting Multiple Representations of Limits

1.11b Finding Points of Discontinuity of a Piecewise Function

1.11b Finding Points of Discontinuity of a Piecewise Function

1.10b Finding Discontinuities

1.10b Finding Discontinuities

1.11a Defining Continuity at a Point

1.11a Defining Continuity at a Point

1.10a Exploring Types of Discontinuities

1.10a Exploring Types of Discontinuities

1.7b Selecting Procedures for Determining Limits - Absolute Value Functions

1.7b Selecting Procedures for Determining Limits - Absolute Value Functions

1.6a Determining Limits Using Algebraic Manipulation

1.6a Determining Limits Using Algebraic Manipulation

1.6b Determining Limits of Trig Functions Using Algebraic Manipulation

1.6b Determining Limits of Trig Functions Using Algebraic Manipulation

1.7c Selecting Procedures for Determining Limits - Trig functions

1.7c Selecting Procedures for Determining Limits - Trig functions

1.7a Selecting Procedures for Determining Limits - Radical Functions

1.7a Selecting Procedures for Determining Limits - Radical Functions

1.5c Determining Limits of Piecewise Functions Using Algebraic Properties of Limits

1.5c Determining Limits of Piecewise Functions Using Algebraic Properties of Limits

1.5b Determining Limits Using Algebraic Properties of Limits

1.5b Determining Limits Using Algebraic Properties of Limits

1.5a Algebraic Properties of Limits

1.5a Algebraic Properties of Limits

1.4 Estimating Limit Values from Tables

1.4 Estimating Limit Values from Tables

Quiz 1.4 Notes

Quiz 1.4 Notes

Quiz 1.5 Notes

Quiz 1.5 Notes

Quiz 1.3 Notes

Quiz 1.3 Notes

Quiz 1.2 Notes

Quiz 1.2 Notes

Quiz 1.1 Notes

Quiz 1.1 Notes

1.3 Estimating Limit Values from Graphs

1.3 Estimating Limit Values from Graphs

1.2c Using Limit Notation

1.2c Using Limit Notation

1.2a Defining Limits

1.2a Defining Limits

1.1 Introducing Calculus

1.1 Introducing Calculus

1.2b Where a Limit Does NOT Exist

1.2b Where a Limit Does NOT Exist

Quick Overview of 2nd Semester Math 3

Quick Overview of 2nd Semester Math 3

The Family of Functions

The Family of Functions

The Building Blocks of Math

The Building Blocks of Math

Calculus Features on Desmos

Calculus Features on Desmos

Quickly Sketch a Tangent Function

Quickly Sketch a Tangent Function

Quickly Writing Equation for Sinusoidal Graphs

Quickly Writing Equation for Sinusoidal Graphs

Trick to Write the Terminal Points of the Unit Circle

Trick to Write the Terminal Points of the Unit Circle

Quickly Sketching Sinusoidal Functions

Quickly Sketching Sinusoidal Functions

Soh Cah Toa

Soh Cah Toa

What are RADIANS?

What are RADIANS?

Quiz 2 - Stats (Version 2)

Quiz 2 - Stats (Version 2)

Quiz 1 - Rationals (Version 2)

Quiz 1 - Rationals (Version 2)

Quiz 1 Notes - Rationals

Quiz 1 Notes - Rationals

1st Final Review - IM3

1st Final Review - IM3

An Overview of Exponents and Logs

An Overview of Exponents and Logs

Fully Expanding Functions

Fully Expanding Functions

Evaluating Multiple Logarithms

Evaluating Multiple Logarithms

Deeper Understanding of Logarithmic Functions

Deeper Understanding of Logarithmic Functions

Solving Exponential Equations without Log

Solving Exponential Equations without Log

Characteristics of Exponential Functions

Characteristics of Exponential Functions

Comparing Rates of Unique Exponential Growth or Decays

Comparing Rates of Unique Exponential Growth or Decays

Finding Values that make Radical Equations and Inequalities True

Finding Values that make Radical Equations and Inequalities True

Interpreting Solutions of 2 Graphs

Interpreting Solutions of 2 Graphs

Finding the x and y-intercepts of Radical Functions

Finding the x and y-intercepts of Radical Functions

Rewriting Radical Equations for a Different Variable

Rewriting Radical Equations for a Different Variable

Finding Domain and the Average Rate of Change Given a Radical Equation

Finding Domain and the Average Rate of Change Given a Radical Equation

Rewriting Mixed Up Radicals and Fractional Powers

Rewriting Mixed Up Radicals and Fractional Powers

Rational vs Irrational Numbers

Rational vs Irrational Numbers

Quiz 2 Practice

Quiz 2 Practice

Recognizing Solutions from a Graph

Recognizing Solutions from a Graph

Relative Extrema on an Interval

Relative Extrema on an Interval

Different Graphs with the Same Zeros

Different Graphs with the Same Zeros

Finding All Roots of a Polynomial Function

Finding All Roots of a Polynomial Function

Simplifying Multivariate Polynomials

Simplifying Multivariate Polynomials

Unit 6 Review

Unit 6 Review

Unit 5 Review

Unit 5 Review

Unit 4 Review

Unit 4 Review

Finding the Antiderivative

Finding the Antiderivative

Finding Relative Extrema

Finding Relative Extrema

Critical Numbers and Increasing or Decreasing

Critical Numbers and Increasing or Decreasing

finding the Derivative

finding the Derivative

What is a Derivative

What is a Derivative

Average Rate of Change (Secant Lines)

Average Rate of Change (Secant Lines)

Finding the Limit

Finding the Limit

Finding Values of Reciprocal Trig Expressions

Finding Values of Reciprocal Trig Expressions

Quiz 2 Notes

Quiz 2 Notes

Margin of Error with a Sample Proportion

Margin of Error with a Sample Proportion

Margin of Error with a Mean

Margin of Error with a Mean

Using Table A to Find the Percent of Values Below a Value

Using Table A to Find the Percent of Values Below a Value

How to use Table A

How to use Table A

Values in the Top nth Percent of a Normal Distribution

Values in the Top nth Percent of a Normal Distribution

Percent Between Values of a Normal Distribution

Percent Between Values of a Normal Distribution

Percent Above a Value of a Normal Distribution

Percent Above a Value of a Normal Distribution

Using Table A to find Percent of Data in a Normal Distribution

Using Table A to find Percent of Data in a Normal Distribution

Types of Samples

Types of Samples

Adding & Subtracting Rationals with Unlike Denominators

Adding & Subtracting Rationals with Unlike Denominators

1st Semester Graph Review

1st Semester Graph Review

Choosing Between Exponential Growth and Geometric Series

Choosing Between Exponential Growth and Geometric Series

Solving Systems of Equations by Elimination

Solving Systems of Equations by Elimination

Solving Systems of Equations by Substitution

Solving Systems of Equations by Substitution

Geometric Series Word Problems

Geometric Series Word Problems

Proof for the Geometric Series Formula

Proof for the Geometric Series Formula

Calculating Geometric Series

Calculating Geometric Series

Fractional Exponent Quiz

Fractional Exponent Quiz

Solving Equations with Improper Fractional Exponents

Solving Equations with Improper Fractional Exponents

Comparing Functions in Different Forms

Comparing Functions in Different Forms

Rewriting Formulas with Radicals

Rewriting Formulas with Radicals

Solving Radicals with Factoring

Solving Radicals with Factoring

Unit 1 Test Review 2

Unit 1 Test Review 2

Complex Roots

Complex Roots

Prove Polynomial Identities

Prove Polynomial Identities

Binomial Theorem

Binomial Theorem

Finding Vertical Asymptotes

Finding Vertical Asymptotes

Intermediate Value Theorem

Intermediate Value Theorem

Find a value to make piecewise continuous

Find a value to make piecewise continuous

Piecewise Discontinuities

Piecewise Discontinuities

Finding Discontinuities

Finding Discontinuities

Trig Limit 4

Trig Limit 4

Trig Limit 3

Trig Limit 3

Trig Limit 2

Trig Limit 2

Trig Limits 1

Trig Limits 1

Solving Limits with Conjugates

Solving Limits with Conjugates

Solving Limits by Factoring

Solving Limits by Factoring

Geometric Series

Geometric Series

Writing Conics in Standard Form

Writing Conics in Standard Form

Area of Non Right Triangles with SSS & AAS

Area of Non Right Triangles with SSS & AAS

Volume of a Truncated Cone

Volume of a Truncated Cone

Modeling with Law of Cosines

Modeling with Law of Cosines

Area of Non Right Triangles with SAS

Area of Non Right Triangles with SAS

Modeling with Law of Sines

Modeling with Law of Sines

Solving a Triangle with Law Cosines

Solving a Triangle with Law Cosines

Using Law of Sines to Solving a Triangle

Using Law of Sines to Solving a Triangle

Law of Sines Proof

Law of Sines Proof

Finding Angles of Right Triangles using Trig

Finding Angles of Right Triangles using Trig

Find Area & Volume using Trig

Find Area & Volume using Trig

Find Missing Sides using Trig

Find Missing Sides using Trig

Creating Trig Ratios

Creating Trig Ratios

Using Pythagorean Theorem to find Area & Perimeter

Using Pythagorean Theorem to find Area & Perimeter

Quiz 4 - Graphing and Modeling Trig Functions

Quiz 4 - Graphing and Modeling Trig Functions

Graphing Cotangent Functions

Graphing Cotangent Functions