lista exercicios de derivadas

Prévia do material em texto

5
4
)13(
)52()(
−
+
=
z
z
zF
( )52
8
43
)12(
x
xy
−
−
=
Cálculo 1 
Lista para Nota – Parte 1 
Derive as funções: 
1. 
42 )37()( ++= xxxf 
2. 42 )764(
1
−+
=
xx
y 
 
3. 
 
4. 
5)( xxf = 
5. 
72
1
5
3
)(
2 +
−
=
t
ttf 
6. 
53
)( 2
3
−
=
t
t
tg 
7. 
( )
( )22
32
4
2
x
xy
−
−
= 
8. ( )4143)( += xxxf 
9. � = � ��� +
�
� + 1	
�
 
 
10. 
11. xxxf cos3)( 2 −= 
12. 4cos23)( −−= xxsenxf 
13. xxxf sec)( 2= 
 
14. ( )23)( −= xsenxf 
15. ( )342)( xsenxf = 
16. ttttk cos)( 2−= 
17. ( )23cos2)( xecxxf = 
18. 
w
w
wR
sen1
cos)(
−
= 
19. )3(cos)( 24 xxxf −= 
20. 
v
ecv
vk
sec
cos)( = 
21. 
32 )1( += xseny 
22. ( )xgxf 4cot)( 3= 
23. θθ 3)( 5senH = 
24. ( )432 xtgy −= 
25. xgxxf cot3sec)( += 
26. xxxf cos)( = 
27. �(�) = 32x
senx
 
28. �(�) =
x
xcos
 
29. ( )23 3sec7)( zzH = 
30. 
θ
θθ
2cos)( =f 
 
31. 
z
z
zh
cos1
cos1)(
+
−
= 
32. 
tgxx
xg
.sen
1)( = 
33. 21
cos)(
x
x
xf
+
= 
 
 
34. )2cos()2()( xxsenxg += 
35. )5( 3xtgy = 
36. xy 6cos= 
37. 
xtg
xy sec1−= 
38. ( )xxy 23cos 24 −= 
 
Livro do Thomas, item 3.2, página 166 (pdf – 180): 1-4, 6-12, 13, 15, 17, 18, 20, 21, 
25, 26, 29-33, 37, 39, 40, 41 (a) e (c), 47 (a), 48 (a), 50. 
Livro do Thomas, item 3.4, página 185 (pdf –199):1-12, 15-20, 25-27, 29, 39, 42, 
45, 46, 49. 
Os Exercícios do Thomas listado estão nos slides.