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 conditions must be satisfied for a function to be differentiable?

How do you set up equations to find the values of a and b for differentiability?

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

Explain the significance of continuity in determining differentiability.

Describe the process of checking the derivatives from both sides.