Using the chain rule to take the derivative with the natural logarithm

The video tutorial explains the chain rule in calculus, focusing on identifying functions within a function and calculating derivatives. It introduces a notation change for simplification and demonstrates implicit differentiation. The tutorial concludes with an explanation of the teaching method used.

What is the first step in applying the chain rule to a function?

• Identify the outer function only

• Directly differentiate the function

• Identify the inner function only

• Identify both the inner and outer functions

In the example provided, what is the derivative of F prime?

• Ln of X

• X to the 5th

• 5X to the 4th

• 1 / X

What is the derivative of G prime in the example discussed?

• X to the 5th

• 5X to the 4th

• Ln of X

• 1 / X

What new notation is introduced for the inner function in the third section?

• V

• U

• W

• Z

Why was implicit differentiation not initially taught with the chain rule?

• It is too complex for beginners

• It requires advanced calculus knowledge

• It was not relevant to the initial examples

• Implicit differentiation was not covered at that time