Find the local extrema using the first derivative test

The video tutorial explains how to find critical values of a continuous function by identifying and factoring its derivative. It demonstrates the process of setting the derivative equal to zero and using the zero product property to find critical points. The tutorial also covers how to identify extrema by analyzing sign changes in the derivative and concludes with a summary of the findings.

What is the first step in finding the critical values of a continuous function?

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Explain how to factor the derivative of the function given in the text.

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What are the critical values identified in the function?

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Describe the process of checking the signs of the derivative to identify extrema.

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What conclusions can be drawn about the behavior of the function at the critical points?

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What is the significance of the first derivative test in determining relative maxima and minima?

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How do you apply the zero product property to find the critical points?

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