Check continuity and differentiability of a piecewise function

The video tutorial explains how to ensure a function is continuous and its derivatives are equal at a specific point, X = 3. It involves setting up an equation, checking continuity, ensuring derivative equality, and verifying the solution by plugging in values.

What equation must hold true for the derivatives at X = 3?

What is the significance of the value 6 in relation to the derivatives at X = 3?