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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 http://www.youtube.com/watch?v=9m9quHDuqSM

2.1 Definition of derivative (part 2) http://www.youtube.com/watch?v=tWDzZ8S6qD8

2.1 AP Style Definition of the derivative problem http://www.youtube.com/watch?v=X5W5sNBIOPA

2.2 The power rule (derivatives) http://www.youtube.com/watch?v=g_d92yd2LF8

2.2 Finding the slope at a particular x value http://www.youtube.com/watch?v=ImG3DPJb180

2.2 Finding the equation of a tangent line http://www.youtube.com/watch?v=7a5AKj8KfLc

2.2 Finding where an equation has a horizontal tangent line http://www.youtube.com/watch?v=VRiU-5OdHgk

2.2 Finding the equation of a tangent line given slope http://www.youtube.com/watch?v=ZH0dplx2DxY

2.2 Sketch f prime based on graph of f http://www.youtube.com/watch?v=fTXTPBBKsNw

2.2 Sketch f prime based on graph of f (ex 2) http://www.youtube.com/watch?v=n8UdxEQeqtQ&safety_mode=true&persist_safety_mode=1&safe=active

2.2 Sketch f prime based on graph of f (ex 3) http://www.youtube.com/watch?v=ZYtIgckJDSg

2.3 The product Rule http://www.youtube.com/watch?v=-xByxWpvhgg

2.3 The quotient rule http://www.youtube.com/watch?v=JOXOIjbzebU

2.3 Trigonemetric Derivatives http://www.youtube.com/watch?v=hra87Z4EPK8

2.3 Higher Order Derivatives http://www.youtube.com/watch?v=RaadOnWuXMo

2.4 The Chain Rule http://www.youtube.com/watch?v=yv9hewIQPIs&safety_mode=true&persist_safety_mode=1&safe=active

2.4 Conceptual Derivatives http://www.youtube.com/watch?v=nu2aAcdtG1E&safety_mode=true&persist_safety_mode=1&safe=active

2.5 Implicit Differentiation (Ex 1)  http://www.youtube.com/watch?v=BhGKUsiiX7k&safety_mode=true&persist_safety_mode=1&safe=active

2.5 Implicit Differentiation (Ex 2) http://www.youtube.com/watch?v=W76h020apKo&feature=relmfu&safety_mode=true&persist_safety_mode=1&safe=active

2.5 Second Derivative with implicit differentiation http://www.youtube.com/watch?v=8ICsuy4rRxY

2.6 Related Rates http://www.youtube.com/watch?v=MMPRDyfe4qc

2.6 Related Rates (ex 2) http://www.youtube.com/watch?v=7-ZylTsOxO4

2.6 Related Rates (ex 3) http://www.youtube.com/watch?v=MPq7PW2fZVY&safety_mode=true&persist_safety_mode=1&safe=active

Chapter 3 Lecture Videos (Applications of Derivatives)

3.1 Critical Points http://www.youtube.com/watch?v=Dqoj9I1jzeM

3.1 Absolute Extrema Concepts http://www.youtube.com/watch?v=EEZZvY57UFk

3.1 Absolute Extrema Example http://www.youtube.com/watch?v=DgSERYxrgEw&safety_mode=true&persist_safety_mode=1&safe=active

3.3 First Derivative Test Explained (Increasing, Decreasing, Relative Extrema) http://www.youtube.com/watch?v=e2peZXkbjKA

3.3 How to Identify where a function is increasing http://www.youtube.com/watch?v=e3vQ_-hQtb8

3.3 How to Identify where a function has relative extrema http://www.youtube.com/watch?v=7pmGGCM4b3s&safety_mode=true&persist_safety_mode=1&safe=active

3.3 How to read a first derivative graph to identify where a function is inc/dec/etc.  http://www.youtube.com/watch?v=UUNHrbW8kFI&safety_mode=true&persist_safety_mode=1&safe=active

3.4 Concavity and the second derivative http://www.youtube.com/watch?v=k71VAbjp7Cc

3.4 Identify the x-values where a function is concave up or down http://www.youtube.com/watch?v=iqo-fYZ_JS4

3.4 Identify concavity from a first derivative graph http://www.youtube.com/watch?v=vM6TIuIBels&safety_mode=true&persist_safety_mode=1&safe=active

3.4 The second derivative test http://www.youtube.com/watch?v=_WlX2tGP9yk

3.6 Sketch f based on f prime and f double prime http://www.youtube.com/watch?v=e0XL3KsBd7A

3.6 Sketch f based on f prime and f double prime (example 2) http://www.youtube.com/watch?v=vkyo_2eIXR8

3.7 Optimization (ex 1) http://www.youtube.com/watch?v=AxUvQiltyj8&safety_mode=true&persist_safety_mode=1&safe=active

3.7 Optimization (ex 2) http://www.youtube.com/watch?v=FaJ3oCqRACc

3.9 Concept of Tangent Line Approximations http://www.youtube.com/watch?v=Iu8Onku9W9Y

3.9 Tangent line Approximation example http://www.youtube.com/watch?v=N4S9FS5AKoI&safety_mode=true&persist_safety_mode=1&safe=active

Chapter 4 Lecture Videos (Integrals)

4.2 Approximating Area Left hand Rec http://www.youtube.com/watch?v=jB_-92JA4-o

4.2 Approximating Area Right hand Rec http://www.youtube.com/watch?v=Qoj-7pEpYSs

4.2 Approximating Area Midpoint Rec http://www.youtube.com/watch?v=AuCHSvuMZ8c

4.2 Approximating Area Trapezoids http://www.youtube.com/watch?v=cK7c0ig0_OM

4.2 Approximating Area Tables http://www.youtube.com/watch?v=Z5AYcp1wx94

4.1 Power Rule for anti-derivs http://www.youtube.com/watch?v=nEmCX4-lxsE

4.1 Power Rule for anti-derivs (part 2) http://www.youtube.com/watch?v=hjQWHTbryys

4.1 Power Rule for anti-derivs (part 3) http://www.youtube.com/watch?v=ceQ_e2dk4RQ

4.1 Anti-derivs of some trig functions http://www.youtube.com/watch?v=qSRc8SFdVUY

4.1 Solving basic differential equations http://www.youtube.com/watch?v=Q5r8Xjo603o

4.1 More differential equations http://www.youtube.com/watch?v=4t3-Qwy9zVY

4.3 Area and definite integrals http://www.youtube.com/watch?v=2LpxJUiHk4w

4.4 Fundamental Theorem of Calculus http://www.youtube.com/watch?v=wvNTrqplCnA

4.5 Integration by substitution (U-sub) http://www.youtube.com/watch?v=pF9_43yhIBM

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

5.1 Properties of the ln(x) function http://www.youtube.com/watch?v=cUrMDUPIh6k

5.1 Derivative of ln(x) http://www.youtube.com/watch?v=HWnZgEYBJAE

5.1 More Derivatives of ln(x) (expanding out first) http://www.youtube.com/watch?v=brAAZYdp5cY

5.2 Anti-derivatives involving ln(x) http://www.youtube.com/watch?v=e45Uv0Cj7rs&safety_mode=true&persist_safety_mode=1&safe=active

5.2 More Anti-derivatives involving ln(x) http://www.youtube.com/watch?v=rCeMf4xlSiw&safety_mode=true&persist_safety_mode=1&safe=active

5.3 Properties of inverse functions http://www.youtube.com/watch?v=_VCJ8UROH4o

5.3 Deriving the derivative of an inverse formula http://www.youtube.com/watch?v=00CpGbdqH4E

5.3 Finding the derivative of an inverse (example) http://www.youtube.com/watch?v=wVrTQbiv9bA

5.4 Properties of e^x  http://www.youtube.com/watch?v=bcWMAof2F1M

5.4 Finding the derivative of e^x  http://www.youtube.com/watch?v=2oDgopp8jb4

5.5 Derivatives of exponential functions with bases other than e http://www.youtube.com/watch?v=04TYy38MGmw

5.5 Derivatives of log functions with base other than e http://www.youtube.com/watch?v=3BvBBKox2KY

5.6 How to derive the formula for the derivative of the inverse of sin x http://www.youtube.com/watch?v=954gPvwNdBI

5.6 Inverse Trig Derivs http://www.youtube.com/watch?v=_7DKcGhlWjQ

5.6 Inverse Trig Derivs (Example 2) http://www.youtube.com/watch?v=VgImHogPcFM

5.6 Inverse Trig Derivs (Example 3) http://www.youtube.com/watch?v=zD4cNX5_vGA

5.7 Inverse Trig Anti-Derivs http://www.youtube.com/watch?v=igsvcZjvg_M

5.7 Inverse Trig Anti-Derivs (Example 2) http://www.youtube.com/watch?v=qiKPbsdG4Bc

5.7 Inverse Trig Anti-Derivs (Example 3) http://www.youtube.com/watch?v=ttTz587rdO8

Chapter 6 Lectures Videos (Differential equations)

6.3 Find the particular solution to a differential equation http://www.youtube.com/watch?v=bt8nlUu84ZU

6.3 Find the particular solution to a differential equaiton (ex 2) http://www.youtube.com/watch?v=OYWUBYueMa0

Chapter 7 Lecture Videos

Chapter 8 Lecture Videos

8.2 Integration by parts http://www.youtube.com/watch?v=grZDwskG7Wg

8.2 Integration by parts (the tabular method) http://www.youtube.com/watch?v=ffT7xWWp5E8

8.3 Trig Integrals http://www.youtube.com/watch?v=TpkVUAKKV3s

8.3 Trig Integrals (part 2) http://www.youtube.com/watch?v=H0dW597dcW8

8.4 Trig Sub http://www.youtube.com/watch?v=zfDa7iA8nwA

8.5 Integration using partial fractions http://www.youtube.com/watch?v=HBXtJ6lpo7A

8.5 Integration using partial fractions (part 2) http://www.youtube.com/watch?v=9nKyiuUdg54

8.7 L'Hopital's Rule https://www.youtube.com/watch?v=W5HYPtriZ7M

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Link to Calc AB HW

Mr. Kurt Mjoen
Mathematics Teacher
AP Calculus AB & BC