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

The video tutorial explains the importance of checking continuity before differentiability in mathematical functions. It uses an example at X=1 to demonstrate how a function can have equal derivatives on both sides but still not be continuous, thus not differentiable. The tutorial emphasizes that continuity is a prerequisite for differentiability.

Why is it important to check continuity before differentiability?

What conclusion was reached about the function's differentiability at X = 1?