TABELA DE DERIVADAS

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TABELA DE DERIVADAS
Sejam u(x) e v(x) funções deriváveis e K
 R.
f(x) = K 
 f ’ (x) = 0
f(x) = un (n
 0) 
 f ’(x) = n.un-1. u ’
f(x) = k.u 
 f ’(x) = k.u ’
f(x) = u.v 
 f ’(x) = u ’.v + u.v ’
f(x) = 
 ( v 
0 ) 
 f’(x) = 
f(x) = u[v(x)] 
 f ’(x) = u ’(x) . v ’(x) - derivada da função composta (regra da cadeia)
f(x) = au 
 f’(x) = au . lna . u ’
f(x) = eu 
 f’(x) = eu . u ’
f(x) = 
 
 f’(x) = 
f(x) = ln u 
 f’(x) = 
f(x) = sen u 
 f’(x) = cos u . u ’
f(x) = cos u 
 f’(x) = -sen u . u ’
f(x) = tg u 
 f’(x) = sec2 u . u’
f(x) = cotg u 
 f’(x) = -cossec2 u . u ’
f(x) = sec u 
 f’(x) = sec u . tg u . u’
f(x) = cossec u 
 f’(x) = -cossec u . cotg u . u ’
 f(x) = arc sen u 
 f’(x) = 
 
 F(x) = arc cos u 
 f’(x) = 
F(x) = arctg u 
 f’(x) = 
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