CALCULUS Understanding Its Concepts and Methods

Chain rule

The rule for differentiating the composition of two functions
*u*
and
*v*
is

This is called the chain rule.

Alternatively, if
*y *is a function of
*u*,
and
*u*
is a function of
*x*,
then
*y*
is a function of
*x*,
and the chain rule says that

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Copyright © 2006 Darel Hardy, Fred Richman, Carol Walker, Robert Wisner. All rights reserved. Except upon the express prior permission in writing, from the authors, no part of this work may be reproduced, transcribed, stored electronically, or transmitted in any form by any method.