How to determine the points that make the function differentiable

How to determine the points that make the function differentiable

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to make a function differentiable by ensuring it is continuous. It discusses the importance of limits from the left and right being equal and checks the derivatives to ensure differentiability. The process involves setting up equations to solve for variables a and b, ensuring the function is both continuous and differentiable. The tutorial concludes with solving these equations to find the values of a and b.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What conditions must be satisfied for a function to be differentiable?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you set up equations to find the values of a and b for differentiability?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the relationship between the left-hand and right-hand limits in this context?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the significance of continuity in determining differentiability.

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the process of checking the derivatives from both sides.

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