How to use the chain rule with a square root

The video tutorial explains how to rewrite a mathematical expression and apply the chain rule to find its derivative. It begins by identifying the outside function and the inner function, followed by calculating their derivatives. The tutorial then demonstrates the application of the chain rule, resulting in the final derivative expression. The process is broken down into clear steps, making it easier for students to understand the application of the chain rule in calculus.

What is the outside function identified in the problem?

• 1/2 X

• X to the 1/2

• 3X^2 + 17X

• 6X + 17

Which of the following represents the derivative of the inside function G of X?

• 3X^2 + 17X

• 6X + 17

• 1/2 X to the -1/2

• X to the 1/2

What is the derivative of the outside function F prime?

• X to the 1/2

• 3X^2 + 17X

• 6X + 17

• 1/2 X to the -1/2

How is the chain rule applied in this problem?

• By subtracting G prime from F prime

• By dividing F prime by G prime

• By multiplying F prime by G prime

• By adding F prime and G prime

What is the final expression for the derivative using the chain rule?

• 6X + 17 over 2 times 3X^2 + 17X raised to the 1/2 power

• 3X^2 + 17X over 6X + 17

• 1/2 X to the -1/2 times 6X + 17

• X to the 1/2 times 3X^2 + 17X