Learn how to write the equation of the derivative given the difference quotient

The video tutorial explores the concept of limits and derivatives in calculus. It begins by discussing how to identify and simplify limits, then moves on to understanding the function involved by reverse engineering it. The tutorial identifies the function as a squared function and calculates its derivative. Finally, it finds the derivative's value at a specific point, demonstrating the process step-by-step.

At what value of C are we trying to find the derivative in this context?

What is the result of plugging in the value 4 into the derivative function?