Use the difference quotient to find the derivative of x

The video tutorial explains the concept of the difference quotient, focusing on evaluating and simplifying it to understand local linearity. The instructor demonstrates how to plug in values and simplify the expression, showing that the slope remains constant at 1 for the identity function. The tutorial concludes by reinforcing the understanding of constant slope and local linearity using the difference quotient.

What new insight or understanding did you gain from this video?