Faà di Bruno's formula

GPTKB entity

Statements (20)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo composition of functions
higher-order derivatives
gptkbp:category mathematical analysis
differentiation rules
gptkbp:expressedUsing gptkb:Bell_polynomials
partitions
multinomial coefficients
gptkbp:field gptkb:mathematics
calculus
differential calculus
gptkbp:form explicit formula for nth derivative of f(g(x))
gptkbp:generalizes chain rule
https://www.w3.org/2000/01/rdf-schema#label Faà di Bruno's formula
gptkbp:namedAfter gptkb:Francesco_Faà_di_Bruno
gptkbp:publishedIn 1855
gptkbp:usedFor computing nth derivative of composite functions
gptkbp:bfsParent gptkb:Lagrange_inversion_theorem
gptkb:Bell_polynomials
gptkbp:bfsLayer 6