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For more information, please see full course syllabus of College Calculus: Level I
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Lecture Comments (5)

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Post by myles wang on November 27, 2013

I think U is a notation for a constant

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Post by Mirza Baig on November 24, 2013

What is "u"

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Post by Miguel Cuzquen on May 15, 2013

Since I´m ESOL user, I wander if you could tell me how where to find the Close Caption CC subtitles of your videos.

1 answer

Last reply by: Nick Kozik
Mon Feb 20, 2012 9:04 PM

Post by Jonathan Taylor on December 30, 2011

Professor I a have a question u put is sequence f(x) g(u) j(x) what the reason for this

Compositions of Functions

  • This topic is very important in preparation for the Chain Rule for differentiation!
  • You can informally think of this as involving an “outer function” and an “inner function.”
  • Some functions involve a composition of three of more functions.
  • You will be using function compositions throughout the rest of calculus!

Compositions of Functions

Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.

  • Intro 0:00
  • Compositions 0:09
    • Alternative Notation
    • Three Functions
  • Lecture Example 1 1:19
  • Lecture Example 2 3:25
  • Lecture Example 3 6:45
  • Additional Example 4
  • Additional Example 5