Given the derivative graph of f' find the relative min

Given the derivative graph of f' find the relative min

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to identify local minima and maxima by analyzing the graph of the derivative function, F prime of X. It discusses the importance of slope changes, particularly from negative to positive, in determining local minima. The tutorial also covers how to find critical values by setting the first derivative to zero and examines specific examples to illustrate these concepts.

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2 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain why the x-value of -5 is not considered a local minimum.

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Discuss the behavior of the derivative graph around the x-value of 5 and its implications for relative extrema.

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