Calculus 2 Lecture 6.3: Derivatives and Integrals of Exponential Functions

Calculus 2 Lecture 6.3: Derivatives and Integrals of Exponential Functions

[darthboganis]

euler's number 0:00
Definition of e 1:20
Properties of e 5:00
Algebraic examples 8:30
> recognizing a quadratic 18:30
Properties of f(x) = e^x graph 24:30
limit of a function involving e^x 34:00
Considerations when function is infinity/infinity 44:15
Calculus involving Exponentials 45:00
> derivatives [including d/dx e^x proof] 45:30
[Remember derivative of ln y involves using chain rule]
>derivative e^f(x) 49:00
w/ Examples 50:00
More examples 1:05:00
Integrals involving e^x 1:07:00
> Integral of 1/u 1:21:15
> Integral of sec (u) 1:26:30

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[zoommier]

1:21:12 "Look at that" I love the genuine awestruck reaction of one of the students from seeing the simplified integral

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