Learn how to use the second derivative test to determine relative extrema

Learn how to use the second derivative test to determine relative extrema

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to use the second derivative test to determine the concavity of a function and identify relative minima. It begins with taking the first derivative and finding critical values, then discusses the first derivative test. The focus shifts to the second derivative test, explaining how to find and evaluate the second derivative. The tutorial concludes with a justification of the test's results, emphasizing the importance of understanding the test's application and implications.

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2 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the significance of the point C in the second derivative test.

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What conclusion can be drawn if F double prime of -3/2 is greater than 0?

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