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chain rule
[chain rule|chain rule] is a method to find the derivative of composites of three or more functions by applying the chain rule more than once.
Definition
chain rule is a method to find the derivative of composites of three or more functions by applying the chain rule more than once.
Mechanism
chain rule The chain rule using Leibniz's notation expresses derivatives in a structured format, aligning with other derivatives we have seen.
Effects
chain rule The chain rule applies to composite functions, resulting in the derivative of h(x) = ln(g(x)) being 1/(g(x)) * g'(x). This follows from applying the inverse function theorem to y = ln(x) and using the chain rule to derive the formula.