\input zb-basic
\input zb-matheduc
\iteman{ZMATH 2011c.00673}
\itemau{Sprows, David}
\itemti{Using the chain rule as the key link in deriving the general rules for differentiation.}
\itemso{PRIMUS, Probl. Resour. Issues Math. Undergrad. Stud. 21, No. 2, Special Issue: a tribute to Brian J. Winkel, 189-192 (2011).}
\itemab
Summary: The standard approach to the general rules for differentiation is to first derive the power, product, and quotient rules and then derive the chain rule. In this short article we give an approach to these rules which uses the chain rule as the main tool in deriving the power, product, and quotient rules in a manner which is more student-friendly than the standard approach.
\itemrv{~}
\itemcc{I45}
\itemut{derivatives; chain rule; power rule; product rule; quotient rule}
\itemli{doi:10.1080/10511970903036361}
\end