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?

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

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

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

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