Calculus Chapter 6

Ch 6   Derivatives of Inverse Function

 

Ch 6.2 Exponential Functions and their Derivatives

Derivatives of General Exponential Functions a^(f(x))
http://www.youtube.com/watch?v=ENQ9I0BK95E

Derivatives of Exponential Functions with Base e
http://www.youtube.com/watch?v=IabMYBXQgV8
http://www.youtube.com/watch?v=OjnOgoEu6CM

Ch 6.3 Natural Logarithmic Function

Derivatives of Exponential Function and ln x
http://www.youtube.com/watch?v=aEP4C_kvcO4

More Derivatives of ln x
http://www.youtube.com/watch?v=fmKqJ69YaTk
http://www.youtube.com/watch?v=d3b8fMHa7gE&feature=relmfu
http://www.youtube.com/watch?v=dh_LtZvaiZ0

Integration of ln x
http://www.youtube.com/watch?v=wt4Xvt6REFI
http://www.youtube.com/watch?v=qMyfjEYqgyM
http://www.youtube.com/watch?v=M7rpBXdShXE
http://www.youtube.com/watch?v=PnXFfiNpcbs&feature=relmfu

Ch 6.5 Exponential Growth and Decay

Natural Exponential Functions : Exponential Growth and Compound Interest Problem
http://www.youtube.com/watch?v=Qu2jl2vpkSI

Ch 6.6 Inverse Trigonometric Functions

The Derivatives of Inverse Trigonometric Functions
http://www.youtube.com/watch?v=m3nezl-oI6Y
http://www.youtube.com/watch?v=_6YYUnmJ6u8
http://www.youtube.com/watch?v=4lsQvz9mxaE&feature=relmfu
http://www.youtube.com/watch?v=ZJLhn5GYYDM
http://www.youtube.com/watch?v=e1L1_Lf0aGU

Ch 6.7 Hyperbolic Functions

Hyperbolic Functions – The Basics
http://www.youtube.com/watch?v=G1C1Z5aTZSQ
http://www.youtube.com/watch?v=Mev-A7t-XOk&feature=related
http://www.youtube.com/watch?v=er_tQOBgo-I

Derivatives of Hyperbolic Functions
http://www.youtube.com/watch?v=g5eOTtqgwJs&feature=relmfu
http://www.youtube.com/watch?v=GPhZg2CLE7g

Inverse hyperbolic functions
http://www.youtube.com/watch?v=8-472M6J0HY&feature=related

Derivatives of Inverse Hyperbolic Functions
http://www.youtube.com/watch?v=updbp77UVwg&feature=related
http://www.youtube.com/watch?v=sD8Fap6lHgk

Ch 6.8 Indeterminate Forms and L’Hopital’s Rule

L’Hopital’s Rule Example 1
http://www.khanacademy.org/math/calculus/v/l-hopital-s-rule-example-1
http://www.youtube.com/watch?v=BiVOC3WocXs

L’Hopital’s Rule Example 2
http://www.youtube.com/watch?v=FJo18AwLfuI
 
L’Hopital’s Rule Example 3
http://www.youtube.com/watch?v=MeVFZjT-ABM