Chapter_11.4 - x x e e e e e dx d × = × × = 29 29 29 2 2...

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Chapter 11.4 Remark: Chain Rule for Exponential and Logarithmic Functions (i) ( 29 ) ( ' ) ( ' ) ( x u e e x u x u × = (ii) ) ( ' ) ( ln 1 ))]' ( [ln( x u x u x u × = Page 615. Example 4: Find the derivatives for (B) 5 2 3 + = x e y 5 2 2 2 5 2 3 5 2 5 2 3 3 3 3 6 ) 6 ( )' 5 2 ( )' ( + + + + = × = + × = = x x x x e x x e x e e dx dy (C) ) 2 4 ln( 2 + - = x x y ) 2 4 ( 4 2 )' 2 4 ( ) 2 4 ( 1 )]' 2 4 [ln( 2 2 2 2 + - - = + - × + - = + - = x x x x x x x x x dx dy Page 617. Example 6: (A) ( 29 x x x e x e e dx d 2 2 2 2 )' 2 ( = × = (B) ( 29 ) 9 ( 2 )' 9 ( ) 9 ( 1 ) 9 ln( 2 2 2 2 + = + × + = + x x x x x dx d (C) ( 29 ( 29 ( 29 ( 29 ) )' ( )' 1 (( 1 3 1 1 3 1 2 2 2 2 2 2 ' 2 3 x
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Unformatted text preview: x x e e e e e dx d + × + = + × + × = + ( 29 ( 29 ( 29 2 2 2 2 2 2 2 2 2 2 1 6 )) 2 ( ) (( 1 3 ) )' ( ) (( 1 3 x x x x x x e xe x e e x e e + = × × + = × × + =...
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