Find the derivative of chain rule using charts

The video tutorial explains how to find the derivative of a composition of functions using the chain rule. It begins with an introduction to the concept of derivatives and the composition of functions. The chain rule is then applied to find the derivative of F(G(x)), specifically evaluating it at G(5). The tutorial walks through the process of finding G(5) and F'(G(5)), and concludes with the final calculation of the derivative, emphasizing the importance of each step in the process.

What is the main rule applied to find the derivative of a composition of functions?

• Product Rule

• Quotient Rule

• Chain Rule

• Power Rule

In the expression F(G(x)), what does the chain rule help us find?

• The product of F and G

• The integral of F and G

• The sum of F and G

• The derivative of F with respect to G

What is the value of G(5) in the given example?

• 0

• 2

• 5

• -2

What is the value of F'(G(5)) in the example?

• 1

• -1

• 2

• 0

What is the final result of the derivative calculation in the example?

• -10

• 10

• 5

• -5