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Chapter_11.21

# Chapter_11.21 - g 4 5 4 log 5 log Property of log ⇐ × =...

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Chapter 11.2 Remark: (i) ( 29 x x e e = ' (ii) ( 29 ) ( ' ) ( ' ) ( x u e e x u x u × = Page 595. Example 1: Find the derivatives for (A) 16 9 3 5 ) ( 4 + + - = x x e x f x 9 12 5 )' 16 ( )' 9 ( )' 3 ( )' 5 ( ) ( ' 3 4 + - = + + - = x e x x e x f x x (B) 2 2 7 ) ( e e x x f x e + + - = x e x e x e e ex e x e e e x x f 2 7 0 2 7 )' ( )' 2 ( )' 7 ( ) ( ' 1 1 2 + - = + + × × - = + + - = - - Page 597. Remark: (iii) ( 29 x x 1 ' ln = (iv) ) ( ' ) ( ln 1 ))]' ( [ln( x u x u x u × = Example 2: Find the derivatives for (A) x e y x ln 5 3 + = x e x e x e y x x x 5 3 1 5 3 )' ln 5 ( )' 3 ( ' + = × + = + = (B) 4 4 ln x x y - = x x x x x x x x x x y 4 4 ) 4 ( 1 4 )' ( 1 4 )' (ln )' ( ' 3 3 4 3 4 4 3 4 4 - = × - = × - = - = 1

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Page 598. Remark: (v) ( 29 ( 29 b b b x x ln ' = Example 3: Find the derivatives for (A) x x x g 3 2 ) ( - = 3 ln 3 2 ln 2 )' 3 ( )' 2 ( ) ( ' x x x x x g - = - = (B) 5 4 log ) ( x x g = = = x x x
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Unformatted text preview: g 4 5 4 log 5 log ) ( Property of log ⇐ × = = 4 ln ln 5 log 5 4 x x Change of basis ( 29 x x ln 4 ln 5 4 ln ln 5 = × = 4 ln 5 1 4 ln 5 )' (ln 4 ln 5 )' (log ) ( ' 5 4 x x x x x g = × = = = 2...
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Chapter_11.21 - g 4 5 4 log 5 log Property of log ⇐ × =...

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