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Posted on: Saturday, February 06, 2010 12:25 AM
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Subject: Common Derivatives Integrals Reduced
| Common Derivatives and Integrals Common Derivatives and Integrals Derivatives Basic Properties/Formulas/Rules d ( cf ( x ) ) = cf ¢ ( x ) , c is any constant. ( f ( x ) ± g ( x ) )¢ = f ¢ ( x ) ± g ¢ ( x ) dx d n d ( c ) = 0 , c is any constant. ( x ) = nxn-1 , n is any number. dx dx æ f ö¢ f ¢ g - f g ¢ – (Quotient Rule) ( f g )¢ = f ¢ g + f g ¢ – (Product Rule) ç ÷ = g2 ègø d f ( g ( x ) ) = f ¢ ( g ( x ) ) g ¢ ( x ) (Chain Rule) dx g¢ x d d g ( x) g x e = g ¢( x ) e ( ) ( ln g ( x )) = g (x ) dx dx ( ) Integrals Basic Properties/Formulas/Rules ò cf ( x ) dx = c ò f ( x ) dx , c is a cons |
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