Find the intervals of concavity from the second derivative graph

Find the intervals of concavity from the second derivative graph

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains the concept of the second derivative and its role in determining the concavity of a function. It identifies intervals where the function is concave up or down based on the sign of the second derivative. The tutorial also explores the relationship between the first and second derivatives, highlighting how the second derivative represents the slopes of the first derivative and discussing possible inflection points.

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2 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the intervals where the function is concave down.

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What does it indicate when the second derivative changes from negative to positive?

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