Introduction to Differentiation and Applying Differentiation Formulae

The video tutorial covers the concept of differentiation, starting with a review of the original function as the instantaneous rate of change. It explains differentiation from first principles using the formula F'(X) = lim(H→0) [F(X+H) - F(X)]/H. The tutorial explores the application of this formula to functions like 1/X and verifies its correctness for rational values. An example of differentiating 6√X is provided, demonstrating the use of the formula to find derivatives.

How does the formula for differentiation work for rational values?

Differentiate the function F of X = 6√X and provide the result.