1. Calcule os seguintes limites:

a) )573(lim 20

xxx

b) )273(lim 2

3+

xx

x c)

524lim 22 ++

+ xx

x

x

d) x

xx

x 32lim

2

4

e) )4(lim

4xe x

x+

f)

819lim 210

x

x

x

g) )3)(2(44lim

2

2+

++ xx

xx

x h)

24lim

2

4

x

x

x

2. Calcule a derivada das funes dadas usando as regras de derivao:

a) 7)( xxf = b) 3)( = xxf c) 41)(x

xf = d) 45)( = xxf

e) 61

)( xxf = f) 510)( xxf = g) 127)( =xf k) 3 2)( xxf =

3. Seja 26)( xxf = . Calcule:

a) )1('f b) )0('f c) )3(' f

4. Calcule a derivada das funes dadas usando as regras de derivao:

a) 102063)( 234 ++= xxxxxf b) senxxxf += 510)(

c) xexxf ++= 40)( d) x

xxf 33)( 2 +=

e) 2104)(x

xxf += f) 5ln.3)( += xxf

5. Seja 152)( 2 += xxxf . Calcule:

b) )1('f b) )0('f c) )2(' f

DP Clculo I Atividade - Portflio

CCCEEENNNTTTRRROOO UUUNNNIIIVVVEEERRRSSSIIITTTRRRIIIOOO CCCLLLAAARRREEETTTIIIAAANNNOOO DDDEEE BBBAAATTTAAATTTAAAIIISSS

Prof. Juliana Brassolatti Gonalves

6. Calcule a derivada das funes dadas usando as regras do produto e do quociente:

a) )4()2()( 32 += xxxxf b) )72()3()( 4 += xxxxf

c) 11)(

2

+

+=

x

xxf d)

435)( 2 ++= xxxf

7. Calcule a derivada das funes dadas usando a regra da cadeia:

a) 33 )13()( += xxxf b) 5)52()( += xxf

c) 4)35(3)( xxf = d) 532)( += xxexf

e) )23ln()( 2 xxxf = f) )63ln()( 2 += xxxf