Values b and c that make the piece wise function differentiable

The video tutorial covers the concepts of continuity and differentiability in mathematics. It begins by explaining the need to find values that make a function continuous and differentiable. The instructor sets up an equation and solves it to ensure continuity at a specific point. The tutorial then checks differentiability by taking derivatives and evaluating them at another point. The process involves solving equations and verifying results, concluding with the final values for the variables involved.

What is the significance of evaluating the derivatives at X = 1?

How do you derive the equation to find B from the given conditions?