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14.5 The Chain Rules Recall chain rule for functions of one variable
 

Summary: 14.5 The Chain Rules
Recall chain rule for functions of one variable
If and( )y f x= ( )x g t= then
dy dy dx
dt dx dt
=
Here we study chain rule for functions of more variables
It has different versions
Chain Rule Case-I
1
If ( , )z f x y= and ( ), ( )x g t y h t= = then
dz z dx z dy
dt x dt y dt
+

=

If ( , , )w f x y z= and ( ), ( )x g t y h t= =
( )z k t= then
dw w dx w dy w dz

  

Source: Ansari, Qamrul Hasan - Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals

 

Collections: Mathematics