Chain rule with radicals, how to take the derivative

The video tutorial explains the process of finding the derivative of a composite function using the chain rule. It begins with identifying the parent and inside functions, F(x) and G(x), and proceeds to apply the chain rule to find the derivative. The tutorial provides a step-by-step calculation, including converting X sqrt to X to the 1/2, and concludes with the final derivative expression and its alternative forms.

What is the significance of the '1/2' in the derivative calculation?

How can the expression for the derivative be rewritten according to the text?