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5 _First_Derivative_Test.notebook January 10, 2020The First Derivative Test
1) Use the first derivative test to find intervals of increase
and decrease, maximum and minimum valueless objectivesTeachers\'
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How to fill out form first derivative test
How to fill out form first derivative test
01
Find the critical points of the function by setting the first derivative equal to zero and solving for x.
02
Use the first derivative test to determine if each critical point is a relative maximum or minimum by checking the sign of the derivative on either side of the critical point.
03
If the derivative changes from positive to negative at a critical point, it is a relative maximum. If it changes from negative to positive, it is a relative minimum.
Who needs form first derivative test?
01
Students studying calculus or related subjects who need to identify relative maxima and minima of a function.
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What is form first derivative test?
Form first derivative test is a mathematical method used to determine whether a function is increasing, decreasing, or at a critical point.
Who is required to file form first derivative test?
Anyone studying calculus or mathematical analysis may be required to perform or understand form first derivative tests.
How to fill out form first derivative test?
To fill out form first derivative test, one must first differentiate the given function and analyze the resulting derivative.
What is the purpose of form first derivative test?
The purpose of form first derivative test is to provide insights into the behavior of a function by examining its rate of change.
What information must be reported on form first derivative test?
On form first derivative test, one must report the original function, its derivative, critical points, and the increasing or decreasing nature of the function.
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