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Generalization of the formula of Faa di Bruno for a composite function with a vector argument

Generalization of the formula of Faa di Bruno for a composite function with a vector argument

The paper presents a new explicit formula for the n th total derivative of a composite function with a vector argument. The well‐known formula of Faa di Bruno gives an expression for the n th derivative of a composite function with a scalar argument. The formula proposed represents a straightforward …