The Chain Rule in Calculus | Formula, Proof, and Examples

The chain rule in calculus is used to differentiate composite functions, which are functions formed by combining two or more functions.

It works by breaking the process into steps: first, we differentiate the outer function, leaving the inner function unchanged.

Then, we multiply by the derivative of the inner function to find the derivative of the entire composite function.

This method simplifies the differentiation of complex functions and is especially useful when one function depends on another.

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Chain Rule Formula