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After finding critical points and identifying endpoints, what should be done next?

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Question

After finding critical points and identifying endpoints, what should be done next?

Options

  • Find only local maximum values.

  • Evaluate only \[f'(x)\] at the endpoints.

  • Evaluate the original function \[f(x)\] at all the critical points and endpoints.

  • Discard all critical points.

MCQ
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Solution

The original function values must be calculated at every critical point and endpoint. These values are then compared to identify the absolute extrema.

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