Formulas - Tabela geral das Derivadas

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Tabela geral das Derivadas, do Hudson
 	Reunindo todas as fórmulas obtidas, formamos a tabela de derivadas que apresentamos a seguir. Nesta tabela u e v são funções deriváveis de x e c, ( e a são constantes.
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y = c ( y’= 0
y = x ( y’ = 1
y = c . u ( y’ = c . u’
y = u + v ( y’ = u’ + v’
y = u . v ( y’ = u’. v + u . v’
y = 
� ( y’ = 
y = u( , (( ( 0) ( y’ = ( . u( -1 . u’
y = au (a>0, a ( 1) ( y’ = au . ln a . u’
y = eu ( y’ = eu . u’
y = logau ( y’ = 
logae
y = ln u ( y’ = 
y = uv (u>0) ( y’ = v . uv – 1 . u’+ uv . ln u . v’
y = sen u ( y’ = cos u . u’
y = cos u ( y’ = - sen u . u’
y = tg u ( y’ = sec2 u . u’
y = cotg u ( y’ = -cosec2 u .u’
y = sec u ( y’ = sec u . tg u .u’
y = cosec u ( y’ = - cosec u . cotg u . u’
y = arc sen u ( y’ = 
 
y = arc cos u ( y’ = 
y = arc tg u ( y’= 
y = arc cotg u ( y’ = 
y = arc sec u , 
( y’ = 
y = arc cosec u, 
( y’ = 
y = senh u ( y’ = cosh u . u’
y = cosh u ( y’ = senh u . u’
y = tgh u ( y’ = sech2 u . u’
y = cotgh u ( y’ = - cosech2 u . u’
y = sech u ( y’ = - sech u . tgh u . u’
y = cosech u ( y’ = - cosech u . cotgh u . u’
y = arg senh u ( y’ = 
y = arg cosh u ( y’ = 
, u > 1
y = arg tgh u ( y’ = 
, 
y = arg cotgh u ( y’=
, 
y = arg sech u ( y’ = 
 , 0 < u <1
y = arg cosech u ( y’ = 
, u( 0
y = 
 ( y’ = 
Hudson Souza de oliveira
virtulhudson@yahoo.com.br
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