Learn how to determine if a piecewise function is continuous and differentiable

Learn how to determine if a piecewise function is continuous and differentiable

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to determine if a function is continuous and differentiable. It starts by checking for discontinuities in continuous functions and confirms continuity at a specific point. The tutorial then moves on to differentiability, explaining that the derivatives on both sides of a point must be equal for a function to be differentiable. The video concludes by demonstrating that the function is continuous but not differentiable at the given point.

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2 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

How do the derivatives on the left and right sides relate to differentiability?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What does it mean for a function to be continuous but not differentiable?

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