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?

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

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

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

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

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