The chain rule has a particularly suggestive appearance in terms of the Leibniz formalism. Suppose that depends differentiably on , and that in turn depends differentiably on . Then we have
The apparent cancellation of the term is at best a formal mnemonic, and does not constitute a rigorous proof of this result. Rather, the Leibniz format is well suited to the interpretation of the chain rule in terms of related rates. To wit:
The instantaneous rate of change of relative to is equal to the rate of change of relative to times the rate of change of relative to .
|Date of creation||2013-03-22 12:26:43|
|Last modified on||2013-03-22 12:26:43|
|Last modified by||matte (1858)|