How to apply the chain rule in calculus?

To apply the chain rule in calculus, one must first understand the concept of composite functions. A composite function is formed when one function is applied to the output of another function. The chain rule allows us to find the derivative of a composite function by breaking it down into its individual components. To apply the chain rule, start by identifying the inner function and the outer function. Then, take the derivative of the outer function with respect to the inner function, and multiply it by the derivative of the inner function with respect to the independent variable. This product will give the derivative of the composite function. The chain rule is a fundamental tool in calculus and is essential in solving problems involving complex functions.

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