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The Playtex Journal, 2010, No. 2
Article revision 2011/01/27Variation and sign tables with tableau
Cristina Blag and Paul Blag
Address BabesBolyai University of Club NACA,
Faculty of Mathematics and
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How to fill out variation and sign tables
How to fill out variation and sign tables
01
To fill out variation and sign tables, follow these steps:
1. Begin by writing down the function for which you need to find the variations and signs.
2. Determine the critical points of the function by finding the values of x for which the derivative or slope of the function is zero or does not exist.
3. Mark the critical points on a number line and choose test intervals between them.
4. Substitute a test value from each interval into the derivative of the function to determine the sign of the derivative in that interval.
5. Note down the signs of the derivatives in the respective intervals to fill out the variation table.
6. Use the signs in the variation table to determine the increasing and decreasing intervals of the function.
7. To fill out the sign table, substitute each critical point into the original function and determine if the function is positive or negative in that interval.
8. Record the signs in the sign table corresponding to the intervals.
9. Interprete the variation and sign tables to analyze the behavior of the function.
Who needs variation and sign tables?
01
Variation and sign tables are required by mathematicians, students studying calculus, and anyone trying to understand the behavior and properties of a given function. These tables help in determining the intervals where the function is increasing or decreasing, the presence of local maximum or minimum points, and the behavior of the function near critical points. They are essential tools in graphical analysis, optimization, and solving mathematical problems involving functions.
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What is variation and sign tables?
Variation and sign tables are documents that display the changes in values and signs of variables over a period of time.
Who is required to file variation and sign tables?
Any individual or organization that is mandated by law or regulation to submit financial information may be required to file variation and sign tables.
How to fill out variation and sign tables?
Variation and sign tables are typically filled out by entering the relevant data in the specified columns or sections provided in the template.
What is the purpose of variation and sign tables?
The purpose of variation and sign tables is to track and analyze changes in variables and signs over time, providing valuable insight for decision-making.
What information must be reported on variation and sign tables?
Information such as the name of the variable, values at different time points, and corresponding signs (positive or negative) must be reported on variation and sign tables.
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