Check continuity and differentiability of a piecewise function

Check continuity and differentiability of a piecewise function

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to ensure a function is continuous and its derivatives are equal at a specific point, X = 3. It involves setting up an equation, checking continuity, ensuring derivative equality, and verifying the solution by plugging in values.

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2 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What equation must hold true for the derivatives at X = 3?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of the value 6 in relation to the derivatives at X = 3?

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