Differentiation Formulas

Differentiation Formulas - tan = x x dx d 2 csc cot = ) ( '...

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DIFFERENTATION FORMULAS 0 = k dx d constant a is k 1 = n n nx x dx d ) ( ' ) ( x f k x f k dx d = constant a is k ) ( ' ) ( ' )] ( ) ( [ x g x f x g x f dx d + = + ) ( ' )] ( [ )] ( [ 1 x f x f n x f dx d n n = x x e e dx d = ) ( ' ) ( ) ( x f e e dx d x f x f = 0 , 1 ln > = x x x dx d ) ( ) ( ' ) ( ln x f x f x f dx d = Product Rule: ) ( ) ( ) ( ) ( ) ( ) ( x g x f x g x f x g x f dx d + = Quotient Rule: 2 )] ( [ ) ( ) ( ) ( ) ( ) ( ) ( x g x g x f x f x g x g x f dx d = Trigonometric Functions: x x dx d cos sin = x x x dx d tan sec sec = ) ( ' )] ( [cos ) ( sin x f x f x f dx d = x x dx d sin cos = x x x dx d cot csc csc = ) ( ' )] ( sin [ ) ( cos x f x f x f dx d = x x dx d 2 sec
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Unformatted text preview: tan = x x dx d 2 csc cot = ) ( ' )] ( [sec ) ( tan 2 x f x f x f dx d = Revised Summer 2005 Student Learning Assistance Center (SLAC) Texas State University--San Marcos...
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