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

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.

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

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