How to determine if a function is continuous and differentiable

The video tutorial explores the concept of differentiability, emphasizing that a function must be continuous to be differentiable. The instructor highlights a problem where the absence of an equal sign indicates discontinuity, making the function non-differentiable. An attempt to verify differentiability through calculations further confirms the function's non-differentiability.

What is the first step to determine if a function is differentiable?

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Why must a function be continuous in order to be differentiable?

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What observation did the teacher make about the problem that indicated it was not differentiable?

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What conclusion can be drawn if there is no equal sign in the function?

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How does the teacher demonstrate that the two expressions are not equal?

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