6 Questions
What are the critical points of a function used to find?
Maximum and minimum values
In which scenario does a function have no global maximum or minimum?
When the first derivative has both positive and negative values
What does the second derivative test help determine for a function?
Inflection points
What is the primary purpose of finding the critical points of a function?
Identifying potential maximum and minimum values
In which scenario would a function have no global maximum or minimum?
The function is unbounded on its domain
What does the second derivative test help determine for a function?
Local maximum and minimum values
Study Notes
maxima and minima maths question relation and function
Test your understanding of critical points, global maximum and minimum, and the second derivative test for functions. Explore scenarios where functions have no global maximum or minimum, and the primary purpose of finding the critical points of a function.
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