Given a graph of f' learn to find the points of inflection

Given a graph of f' learn to find the points of inflection

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial discusses concavity and how to identify points of inflection on a graph. It explains that non-differentiable points, such as corners or cusps, are potential points of inflection. The tutorial also covers how to analyze slopes to determine actual points of inflection, focusing on changes in concavity and slope direction.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the possible points of inflection mentioned in the text?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain why the second derivative is undefined at certain points.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Discuss the significance of horizontal tangent lines in relation to concavity.

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you determine if a point is an actual point of inflection?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What does it mean when the slope changes from positive to negative at a point?

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