Introduction to Differentiation of Small Positive Integer Powers of X

The video tutorial covers the concept of differentiation from first principles, demonstrating how to find the gradient of a function. It provides examples of differentiating functions like X squared, X cubed, and X to the fifth, using methods such as Pascal's triangle and the binomial theorem. A general formula for differentiation is derived, and its application is shown through various examples.

Summarize the relationship between the coefficients of X and the gradient when differentiating.

What happens to the gradient of a constant function, such as Y = -5?

How do you find the gradient of the function Y = 3X^3 - 6X^2 + 2X - 7?