Sure, the chain rule is a fundamental rule of calculus that allows you to find the derivative of composite functions, which are functions that are made up of other functions.

In more technical terms, if you have a composite function f(g(x)), where f and g are both differentiable functions, the chain rule tells you how to find the derivative of f(g(x)) with respect to x.

The chain rule states that the derivative of f(g(x)) with respect to x is equal to the derivative of f evaluated at g(x) multiplied by the derivative of g(x) with respect to x, or in other words:

(d/dx) f(g(x)) = f'(g(x)) * g'(x)

Here, f'(g(x)) represents the derivative of f evaluated at g(x), which means you first take the derivative of f with respect to its own variable (in this case, f'(x)), and then evaluate that derivative at g(x), i.e., replace x with g(x). Similarly, g'(x) represents the derivative of g with respect to x.

To use the chain rule, you would first identify the inner function g(x) and its derivative g'(x), and then identify the outer function f(g(x)) and its derivative f'(g(x)). Then, you would plug these values into the formula above to find the derivative of the composite function f(g(x)) with respect to x.
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