How to determine the points that make the function differentiable

The video tutorial explains how to make a function differentiable by ensuring it is continuous. It discusses the importance of limits from the left and right being equal and checks the derivatives to ensure differentiability. The process involves setting up equations to solve for variables a and b, ensuring the function is both continuous and differentiable. The tutorial concludes with solving these equations to find the values of a and b.

What is the relationship between the left-hand and right-hand limits in this context?

How do you derive the equations for a and b from the given functions?