Taking the derivative of natural log with chain rule

The video tutorial explains the concept of a function inside a function, using implicit differentiation and the chain rule. It introduces the idea of function composition and demonstrates how to derive implicitly by treating a function as a function of another variable. The tutorial provides a step-by-step process for implicit derivation, using U substitution to simplify the function. The video concludes with a recap of the implicit differentiation process and its relation to the chain rule.

What is the function being derived in the example discussed?

Explain the concept of taking the derivative of a function inside another function.

What is the derivative of the function X^2 + 1?

What is the final expression for the derivative D over DX as derived in the example?

How does the chain rule apply to implicit differentiation as described in the text?