How to find the derivative of an expression then simplifying

The video tutorial explains the function G of X, simplifies it, and finds its derivative. The instructor discusses how to rewrite the derivative for multiple choice tests, emphasizing the importance of algebraic manipulation to achieve the correct form. The final answer is presented with a detailed explanation.

What is the expression for G of X as described in the text?

How do you simplify the expression X to the three halves minus X to the one half?

What is the derivative of the function G of X as calculated in the text?

Explain the process of finding common denominators as mentioned in the text.

What final expression is presented for the multiple choice test regarding the derivative?