For more information, please see full course syllabus of College Calculus: Level I

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For more information, please see full course syllabus of College Calculus: Level I

For more information, please see full course syllabus of College Calculus: Level I

### 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

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