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Kurt Mjoen

Link to all answers in textbook

Link to known cross sections visual

Chapter 1 Lecture Videos (Limits)

Chapter 2 Lecture Videos (Derivatives)

2.1 Definition of derivative

2.1 Definition of derivative (part 2)

2.1 AP Style Definition of the derivative problem

2.2 The power rule (derivatives)

2.2 Finding the slope at a particular x value

2.2 Finding the equation of a tangent line

2.2 Finding where an equation has a horizontal tangent line

2.2 Finding the equation of a tangent line given slope

2.2 Sketch f prime based on graph of f

2.2 Sketch f prime based on graph of f (ex 2)

2.2 Sketch f prime based on graph of f (ex 3)

2.3 The product Rule

2.3 The quotient rule

2.3 Trigonemetric Derivatives

2.3 Higher Order Derivatives

2.4 The Chain Rule

2.4 Conceptual Derivatives

2.5 Implicit Differentiation (Ex 1)

2.5 Implicit Differentiation (Ex 2)

2.5 Second Derivative with implicit differentiation

2.6 Related Rates

2.6 Related Rates (ex 2)

2.6 Related Rates (ex 3)

Chapter 3 Lecture Videos (Applications of Derivatives)

3.1 Critical Points

3.1 Absolute Extrema Concepts

3.1 Absolute Extrema Example

3.3 First Derivative Test Explained (Increasing, Decreasing, Relative Extrema)

3.3 How to Identify where a function is increasing

3.3 How to Identify where a function has relative extrema

3.3 How to read a first derivative graph to identify where a function is inc/dec/etc.

3.4 Concavity and the second derivative

3.4 Identify the x-values where a function is concave up or down

3.4 Identify concavity from a first derivative graph

3.4 The second derivative test

3.6 Sketch f based on f prime and f double prime

3.6 Sketch f based on f prime and f double prime (example 2)

3.7 Optimization (ex 1)

3.7 Optimization (ex 2)

3.9 Concept of Tangent Line Approximations

3.9 Tangent line Approximation example

Chapter 4 Lecture Videos (Integrals)

4.2 Approximating Area Left hand Rec

4.2 Approximating Area Right hand Rec

4.2 Approximating Area Midpoint Rec

4.2 Approximating Area Trapezoids

4.2 Approximating Area Tables

4.1 Power Rule for anti-derivs

4.1 Power Rule for anti-derivs (part 2)

4.1 Power Rule for anti-derivs (part 3)

4.1 Anti-derivs of some trig functions

4.1 Solving basic differential equations

4.1 More differential equations

4.3 Area and definite integrals

4.4 Fundamental Theorem of Calculus

4.5 Integration by substitution (U-sub)

Chapter 5 Lecture Videos ( ln, e, inverse, etc.)

5.1 Properties of the ln(x) function

5.1 Derivative of ln(x)

5.1 More Derivatives of ln(x) (expanding out first)

5.2 Anti-derivatives involving ln(x)

5.2 More Anti-derivatives involving ln(x)

5.3 Properties of inverse functions

5.3 Deriving the derivative of an inverse formula

5.3 Finding the derivative of an inverse (example)

5.4 Properties of e^x

5.4 Finding the derivative of e^x

5.5 Derivatives of exponential functions with bases other than e

5.5 Derivatives of log functions with base other than e

5.6 How to derive the formula for the derivative of the inverse of sin x

5.6 Inverse Trig Derivs

5.6 Inverse Trig Derivs (Example 2)

5.6 Inverse Trig Derivs (Example 3)

5.7 Inverse Trig Anti-Derivs

5.7 Inverse Trig Anti-Derivs (Example 2)

5.7 Inverse Trig Anti-Derivs (Example 3)

Chapter 6 Lectures Videos (Differential equations)

6.3 Find the particular solution to a differential equation

6.3 Find the particular solution to a differential equaiton (ex 2)

Chapter 7 Lecture Videos

Chapter 8 Lecture Videos

8.2 Integration by parts

8.2 Integration by parts (the tabular method)

8.3 Trig Integrals

8.3 Trig Integrals (part 2)

8.4 Trig Sub

8.5 Integration using partial fractions

8.5 Integration using partial fractions (part 2)

8.7 L'Hopital's Rule

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Link to Calc AB HW

Mr. Kurt Mjoen
Mathematics Teacher
AP Calculus AB & BC