Learning to find the derivative of a polynomial using sum and difference

The video tutorial explains how to find the derivative of a function, G prime of X, using the constant multiple rule. It breaks down the process of applying the rule, factoring, and simplifying the derivative by bringing down exponents. The instructor emphasizes understanding each step but also notes that with practice, one can simplify the process without showing every step.

Explain the process of bringing down the coefficients during differentiation.

What does the teacher mean by 'breaking everything down' in the context of this lesson?