Rules - DERIVATIVE RULES dn x $ nx n#1 dx d sin x $ cos x...

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DERIVATIVE RULES !" 1 n d n x nx dx # $ sin cos d x x dx $ cos sin d x x dx $# ln x x d aa dx $% a 2 tan sec d x x dx $ 2 cot csc d x x dx ( ) ( ) ( ) ( ) ( ) ( ) d f x g x f x g x g x f x dx && % $ % % sec sec tan d x x dx $ x csc csc cot d x xx dx 2 ( ) ( ) ( ) ( ) ( ) () d f x g x f x f x g x dx g x gx % # % $ *+ ,- 2 1 arcsin 1 d x dx x $ # 2 1 arctan 1 d x dx x $ ( ( )) ( ( )) ( ) d f g x f g x g x dx & & 2 1 arcsec 1 d x dx $ # 1 ln d x dx x $ sinh cosh d x x dx $ cosh sinh d x x dx $ INTEGRAL RULES 1 1 , 1 1 nn x dx x c n n $’ . /# sin cos xdx x c $ #’ . 2 csc cot xdx x c $ # . 1 ln x a dx a c a $ . x cos sin xdx x c $ . sec tan sec x xdx x c . 1 ln dx x c x . 2 sec tan xdx x c $ . csc cot
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This note was uploaded on 10/21/2009 for the course MATH 223 taught by Professor Punosevac during the Spring '08 term at Arizona.

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