AP Calculus BC · Unit 5: Analytical Applications of Differentiation
5.5 Using the Candidates Test to Determine Absolute (Global) Extrema
In short
You learn to find absolute (global) extrema of a function on a closed interval by identifying viable candidates. The scope requires you to understand that these extrema can only occur at critical points or at the endpoints of the interval.
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What else do you need to know about Using the Candidates Test to Determine Absolute (Global) Extrema?
You are expected to apply mathematical rules or procedures to evaluate the function at these candidate x-values, both with and without technology, to determine the absolute maximum and minimum values.
Can you do these?
- I can use the candidates test to find absolute (global) extrema on a closed interval by evaluating the function at critical points and endpoints.
How is Using the Candidates Test to Determine Absolute (Global) Extrema tested on the exam?
On the AP Exam, sound reasoning must be accompanied by clear communication. When justifying conclusions about extrema, you must avoid nonspecific language like 'it' or 'the function' and instead refer to f, f', and f'' by name. You must provide sufficient evidence based on calculus (e.g., analysis of a derivative) rather than relying on simple descriptions of a graph's appearance (like 'it's going up').
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Using the Candidates Test to Determine Absolute (Global) Extrema: common questions
What do you need to know about Using the Candidates Test to Determine Absolute (Global) Extrema for AP Calculus BC?
You learn to find absolute (global) extrema of a function on a closed interval by identifying viable candidates. The scope requires you to understand that these extrema can only occur at critical points or at the endpoints of the interval.
How is Using the Candidates Test to Determine Absolute (Global) Extrema tested on the AP Calculus BC exam?
On the AP Exam, sound reasoning must be accompanied by clear communication. When justifying conclusions about extrema, you must avoid nonspecific language like 'it' or 'the function' and instead refer to f, f', and f'' by name.
How do I know I have mastered Using the Candidates Test to Determine Absolute (Global) Extrema?
Check you can do each of these: use the candidates test to find absolute (global) extrema on a closed interval by evaluating the function at critical points and endpoints.
Where does Using the Candidates Test to Determine Absolute (Global) Extrema fit in AP Calculus BC?
Using the Candidates Test to Determine Absolute (Global) Extrema is topic 5.5 in Unit 5: Analytical Applications of Differentiation of AP Calculus BC.
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