DERIV_1 - ′ 29 29 D u x u x u x x tan sec = ⋅ ′ 2 29 29 D u x u x u x x cot csc =-⋅ ′ 2 29 29 29 D u x u x u x u x x sec sec tan = ⋅

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Derivatives I [ ] [ ] [ ] D c D cu x cD u x cu x x x x = = = 0 ( ) ( ) ( ) , where c is a real constant. [ ] [ ] [ ] D u x v x D u x D v x u x v x x x x ( ) ( ) ( ) ( ) ( ) ( ) + = + = + [ ] [ ] [ ] D u x v x u x D v x v x D u x u x v x v x u x x x x ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) = + = + [ ] [ ] [ ] [ ] D u x v x v x D u x u x D v x v x v x u x u x v x v x x x x ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) = - = - 2 2 ( 29 ( 29 ( 29 f g x f g x g x = ( ) ( ) [ ] [ ] [ ] D u x n u x u x x n n ( ) ( ) ( ) = - 1 [ ] D u x u x u x u x x ( ) ( ) ( ) ( ) = D x D y y x = 1 ( 29 [ ] ( 29 D u x u x u x x sin ( ) cos ( ) ( ) = ( 29 [ ] ( 29 D u x u x u x x cos ( ) sin ( ) ( ) = -
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Unformatted text preview: ′ ( 29 [ ] ( 29 D u x u x u x x tan ( ) sec ( ) ( ) = ⋅ ′ 2 ( 29 [ ] ( 29 D u x u x u x x cot ( ) csc ( ) ( ) = -⋅ ′ 2 ( 29 [ ] ( 29 ( 29 D u x u x u x u x x sec ( ) sec ( ) tan ( ) ( ) = ⋅ ′ ( 29 [ ] ( 29 ( 29 D u x u x u x u x x csc ( ) csc ( ) cot ( ) ( ) = -⋅ ′ deriv_1.doc...
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This note was uploaded on 03/09/2008 for the course CALC 1,2,3 taught by Professor Varies during the Spring '08 term at Lehigh University .

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