How to determine the points of differentiability

How to determine the points of differentiability

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to determine the values of A and B for which a function is differentiable. It begins by discussing the importance of continuity and differentiability, emphasizing that a function must be continuous to be differentiable. The tutorial then demonstrates how to check for continuity by equating the limits from the left and right. It proceeds to form equations based on these limits and checks the derivatives from both sides to ensure they are equal. Finally, the tutorial solves the equations to find the specific values of A and B that make the function differentiable.

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2 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you determine the values of A and B that make the function differentiable?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What conclusion can be drawn about the function's differentiability based on the left and right hand derivatives?

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