Tabela de Derivada

Prévia do material em texto

FUNÇÃO
	DERIVADA
	
	FUNÇÃO
	DERIVADA
	1
	y = c
	y' = 0
	21
	y = arc tg u
	
	2
	y = x
	y' = 1
	22
	y = arc cotg u
	
	3
	y = cu
	y' = cu'
	23
	y = arc cosec u,
	
	4
	y = u + v
	y' = u' + v'
	24
	y = arc sec u,
	
	5
	y = uv
	y' = u'v + uv'
	25
	y = senh u
	y' = (cosh u).u'
	6
	
	
	26
	y = cosh u
	y' = (senh u).u'
	7
	y = un, 
	y' = n.un - 1.u'
	27
	y = tgh u
	y' = (sech2 u).u'
	8
	y = au (a > 0, )
	
	28
	y = cotgh u
	y' = (-cosech2 u).u'
	9
	y = eu
	y' = eu. u'
	29
	y = sech u
	y' = (-sech u).(tgh u).u'
	10
	y =
	y' =
	30
	y = cosech u
	y' = (-cosech u).(cotgh u).u'
	11
	y = uv (u > 0)
	
	31
	y = arg senh u
	
	12
	y = ln u
	
	32
	y = arg cosh u
	, u > 1
	13
	y = sen u
	y' = cos u.u'
	33
	y = arg tgh u
	, |u| < 1
	14
	y = cos u
	y' = - sen u.u'
	34
	y = arg cotgh u
	, |u| > 1
	15
	y = tg u
	y' = sec2u.u'
	35
	y = arg sech u
	, 0 < u < 1
	16
	y = sec u
	y' = sec u . tg u . u'
	36
	y = arg cosech u
	, 
	17
	y = cotg u
	y' = - cosec2u.u'
	37
	y = f(g(x))
	y' = f ' (g(x)). g'(x)
	18
	y = cosec u
	y' = - cosec u . cotg u . u'
	38
	y = loga |u|
	
	19
	y = arc sen u
	
	
	
	
	20
	y = arc cos u