Using chain rule twice to take the derivative of an expression

The video tutorial covers the introduction of functions F(x) and G(x), followed by a detailed explanation of derivatives and the chain rule. The instructor demonstrates how to apply the chain rule to find the derivative of G(x) and concludes with final calculations and additional notes.

What is the rewritten form of F of X as mentioned in the text?

Explain how to find the derivative of G of X using the chain rule.

What is the derivative of the inside function as described in the text?

Describe the process of differentiating the function involving cosine and the inside function.

What is the significance of using brackets in the differentiation process as mentioned?