Sign In | Subscribe
Start learning today, and be successful in your academic & professional career. Start Today!
Loading video...
This is a quick preview of the lesson. For full access, please Log In or Sign up.
For more information, please see full course syllabus of College Calculus: Level I
  • Discussion

  • Study Guides

  • Download Lecture Slides

  • Table of Contents

  • Related Books

Bookmark and Share
Lecture Comments (3)

1 answer

Last reply by: Jason Todd
Tue Jul 30, 2013 2:51 AM

Post by Josh Winfield on January 23, 2013

f(x)=x^3 f'(x) = 3x^2 f''(x)= 6x

0 answers

Post by aloosh aloosh on September 27, 2011

thank for you for this good video

Graphs of f, f', f''

  • I recommend vertically lining up the plots of , , and - this allows you to more easily incorporate information from one graph into another graph.
  • To plot based on the graph of , mark locations of horizontal tangents in as -intercepts in .
  • Positive slopes in correspond to positive values in ; negative slopes in correspond to negative values in .
  • Use this information to sketch the graph by filling things in between the -intercepts you already have marked.

Graphs of f, f', f''

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
  • Slope Function of f(x) 0:41
    • Slope is Zero
    • Slope is Positive
    • Slope is Negative
  • Slope Function of f'(x) 1:31
    • Slope is Zero
    • Slope is Positive
    • Slope is Negative
  • Lecture Example 1 2:23
  • Lecture Example 2 8:06
  • Lecture Example 3 12:36
  • Additional Example 4
  • Additional Example 5