A "tree" or "branch" diagram for which one multiplies partial derivatives along a path is frequently introduced as a mnemonic to remember this formula. A higher n generalization of this formula is Faà di Bruno's formula. This formula implies that the Jacobian of the composition of two functions is equal to the product of the Jacobian of each function. Integrating a solution (*) obtained by this formula requires applying its inverse: u-substitution. For two functions of x, f and g, this formula gives the derivative of f 
A "tree" or "branch" diagram for which one multiplies partial derivatives along a path is frequently introduced as a mnemonic to remember this formula. A higher n generalization of this formula is Faà di Bruno's formula. This formula implies that the Jacobian of the composition of two functions is equal to the product of the Jacobian of each function. Integrating a solution (*) obtained by this formula requires applying its inverse: u-substitution. For two functions of x, f and g, this formula gives the derivative of f of g of x as the derivative of f of g of x times the derivative of g. For 10 points, name this "rule" from calculus that, with the product rule, is used to derive the quotient rule
A "tree" or "branch" diagram for which one multiplies partial derivatives along a path is frequently introduced as a mnemonic to remember this formula.