Problemario de derivadas

1. f ( x )=2 32. f ( x )=x 23 2

61. f ( x )=
−2 33. f ( x )=2 x 5 x4
2. f ( x )=
9 f ( x )=4 x 4 −1
34. 62. f ( x )= 6
−1 x
3. f ( x )= 35. f ( x )=6 x 6
2 −6
36. f ( x )=2 x 9 63. f ( x )= 9
4. f ( x )=13 x
5. f ( x )=−6 37. f ( x )=−5 x 12 −4
38. f ( x )=−7 x 42 64. f ( x )= 12
6. f ( x )=8 x
f ( x )=2.56 −5 78 4
7. 39. f ( x )= x f ( x )= 42
7 65.
8. f ( x )= √ 2 x
−3 2
5 3 40. f ( x )= x 5
9.

10.
f ( x )=
√ 5
f ( x )= ( 6 ) 5 41.
1
5
f ( x )= x 23
66. f ( x )= 8
x
9
2 67. f ( x )= 2
5 6 x
f ( x )= √ x 5
11. f ( x )=() 6
42.
43.
3
f ( x )= √ x 4 68. f ( x )= 23
3
12. f ( x )=−5 x 4x
7
44. f ( x )= √ x 6 1
13. f ( x )=67 x 69. f ( x )= 5
14. f ( x )=4 x
45. f ( x )= √ x 9 √x
46.
11
f ( x )= √ x 12 2
15. f ( x )=4.5 x 70. f ( x )= 5 4
16. f ( x )= √15 x 47. f ( x )= √ x 42 √x
−1
17. f ( x )=5 4 x 48. f ( x )= √ x 78 71. f ( x )= 7 6
18. f ( x )=−9.7 x 49.
5
f ( x )= √ x 2 √x
−6
−5 8
f ( x )= √ x 23 72. f ( x )= 9
19. f ( x )= x 50.
√x
4 9
51. f ( x )= √ 2 x 5 −4
6 f ( x )= 7 12
20.

21.
f ( x )=
√
f ( x )=−55 x
7
x 52.
53.
7
f ( x )=4 √ x 4
9
f ( x )=6 √ x 6
73.
√x
4
74. f ( x )= 6 42
22. f ( x )=89 x 54. f ( x )=2 √ x
3 9 √x
f ( x )=23 x 4 5
23. 55. f ( x )=−5 √ x 12 75. f ( x )= 8
24. f ( x )=x 5 56. f ( x )=−7 √ x 42 √x
f ( x )=x 4 9
25. −5 3 8 76. f ( x )= 9 2
26. f ( x )=x 6
57. f ( x )=
7
√x √x
3
27. f ( x )=x 9 58. f ( x )=
−3 8 2
√x 77. f ( x )= 7 3
5 4 √x
28. f ( x )=x 12
17 1
29. f ( x )=x 42 59. f ( x )= √ x 23 78. f ( x )=
2 −5 √ x5
30. f ( x )=x 78
1 −2
31. f ( x )=x 2 60. f ( x )= 5 79. f ( x )= 5 4
x 7√x
 −1 9
80. f ( x )= 7 85. f ( x )= 9
9 √ x6 4 √ x2
−6
81. f ( x )=
8 √ x9
−4
82. f ( x )= 7 12
9√x
4
83. f ( x )= 6 42
7√x
5
84. f ( x )=
6 √ x8

86. f ( x )=3 x 4 + 4 x−2

87. f ( x )=x 5−2 x 6 +52 x

88. f ( x )=3 √ x 4−6 x7 −x2 −5

1
89. f ( x )= 4
+5 x 6 −3 x −4
x

90. f ( x )=−7 x 8 −7 √ x−2

−3 4
91. f ( x )= + −2 x
x4 √ x

92. f ( x )=4 x 5−8 x 6−2 x 7

93. f ( x )=8 √ x 8−6 x 3 + x 4

1
94. f ( x )=5 x−x 5−
x7

5 4 2
95. f ( x )= + −
3 x 4 x x5

3 4 2
96. f ( x )= 3
+ −4 7
√ x √x √x
97. f ( x )=−6+7 x 4−5 x 6−5 x 7

3
98. f ( x )=3−x 5−x 6 +
x4
3
99. f ( x )=( 3−x + x 2 )
 2
100. f ( x )=( −4 x−x 2−5 x 5 )
4
101. f ( x )=( 7 x −3 x 3−5 x 5 +5 x 8 )
3
102. f ( x )=( 2 x 4 −5 x6 −8 )
4
103. f ( x )=( −7+7 x+ 7 x 4−8 x 9 )
2
104. f ( x )=( 5 x 6−3 x 2−4 x +5 )
105. f ( x )=( x2− x3 +3 x 4 ) ( 3−x2 )
106. f ( x )= ( 2+ x5 −x6 ) ( x 2 +4 x3 )
107. f ( x )=( 5 x 2−4 x 3+ 4 x 4 )( 4−x+ x2 )
108. f ( x )= ( 3−x 4 +6 x 5 ) ( 4 +5 x−4 x3 )
109. f ( x )=( 5 x 4 + 4 x 2−x ) ( x 4−2 x−2 )
3
110. f ( x )=( 2 x 3−3 x 4 + 4 x 5 )( 3−x 2 )
4
111. f ( x )=( 5+2 x 5−4 x 6 ) ( x 2 +4 x 3 )
5
112. f ( x )=( 5 x 2−4 x 3+ 4 x 4 ) ( 4−x+ x 2 )
6
113. f ( x )=( 3 x 5−x 4 + 7 x 3 ) ( 4+5 x−4 x 3)
7
114. f ( x )=( 5 x 4 + 4 x 2−x ) ( x 4−2 x−2 )