Wiskunde week 7, antw - Opgavencollege Wiskunde 1, 22...

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Unformatted text preview: Opgavencollege Wiskunde 1, 22 Oktober 2010 Les 7 Uitwerkingen Opgavencollege Wiskunde 1 Les 7 Uitwerkingen Pag. 1/4 • Opgave 1 a) 2 ( ) 12 7. f x x ′ = + b) 3 3 10 ( ) 10 24 24. f x x x- ′ = + = + c) ( 29 ( 29 3 2 3 3 2 3 2 ( ) 1 7 3 1 7 3 3 4 3 7. f x x x x x x x x x ′ = ⋅- +- =- +- =-- d) ( 29 ( 29 ( 29 ( 29 ( 29 2 2 2 1 7 2 7 4 7 2 28 7 26 ( ) . 7 2 7 2 7 2 x x x x f x x x x- ⋅-- ⋅-- +- +- ′ = = =--- e) ( 29 2 2 1 1 3 1 ( ) 6 2 . 2 3 2 1 3 2 1 x f x x x x x x + ′ = ⋅ ⋅ + = +- +- f) ( 29 ( 29 ( 29 ( 29 ( 29 2 ( ) 2 7 2 7 4 1 4 7 2 2 7 2 28 7 2 7 2 f x x x x x x x ′ = ⋅- ⋅ ⋅- + ⋅- = ⋅-- + ⋅- ( 29 ( 29 2 7 2 42 11 . x x =-- g) ( 29 1 2 2 2 1 4 2 . 2 4 x y x x x- ′= + ⋅ = + h) ( 29 ( 29 ( 29 ( 29 3 4 2 2 2 3 7 4 4 2 4 4 2 6 3 7 x x x x y x + ⋅- ⋅-- ⋅ ′= = + ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 2 2 2 3 3 2 2 2 2 48 112 24 12 24 12 112 4 2 4 2 3 7 3 7 x x x x x x x x x +-- + +- ⋅ =- ⋅ = + + ( 29 ( 29 ( 29 3 2 2 2 4 4 2 6 3 28 . 3 7 x x x x- + + + i) ( 29 ( 29 ( 29( 29 2 3 4 7 1 4 2 7 1 7 3 7 1 28 4 56 y x x x x x x ′= - + + ⋅ ⋅ + ⋅ =- + + + ( 29 ( 29 2 3 4 7 1 21 1 588 112 1. x x x x =- + + = --- Opgavencollege Wiskunde 1, 22 Oktober 2010 Les 7 Uitwerkingen Opgavencollege Wiskunde 1 Les 7 Uitwerkingen Pag. 2/4 • Opgave 2 a) ( 29 ( 29 ( 29 ( 29 ln(3 ) ln(3) ln(3) 3 e e ' ln 3 e ln 3 3 ....
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Wiskunde week 7, antw - Opgavencollege Wiskunde 1, 22...

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