Derivadas integral

Lista de Exercícios de Derivadas e Integral

1. Calcule a Derivada usando as regras de derivação:

1. g(t) = [pic 2]

1. h(z) = [pic 3]

1. f(x) = [pic 4]

1. f(s) = 15 –s + 4s2 – 5s4

1. f(t) = 12 – 3t4 + 4t6

1. f(x) = 3x2 + [pic 5]

1. g(x) = x4 - [pic 6]

1. g (x) = (x3 – 7).(2x2 + 3)

1. k(x) = (2x2 – 4x + 1). (6x – 5)

1. f(x) = x1/2.(x2 + x -4)

1. h(r) = r2( 3r4 -7r + 2)

1. k(v) = v3.(-2v3 + v – 3)

1. g(x) = (8x2 -5x).(13x2 + 4)

1. f(x) =[pic 7]

1. h(z) = [pic 8]

1. g(v) = [pic 9]

1. f(x) = [pic 10]
2. h(x) = [pic 11]

1. k(x) = (3x)-4

1. h(x) = (5x – 4)2

1. M(x) = [pic 12]

1. Y = -3x-8 +2[pic 13]

1. Y = x-3 + [pic 14]

      2.  Nos exercícios abaixo, ache a derivada da função.

a) [pic 15]       

b) [pic 16] 

c) [pic 17]   

 

d) [pic 18]

e) [pic 19]

f) [pic 20] 

g) [pic 21]

h) [pic 22]   

i) [pic 23]       

1. Calcule as integrais indefinidas:

1. [pic 24]
2. [pic 25]
3. [pic 26]
4. [pic 27]
5. [pic 28]
6. [pic 29]
7. [pic 30]
8. [pic 31]
9. [pic 32]
10. [pic 33]
11. [pic 34]
12. [pic 35]
13. [pic 36]
14. [pic 37]
15. [pic 38]
16. [pic 39]
17. [pic 40]
18. [pic 41]
19. ∫ (-4x-4 – 5x3/2 + 7x4/5) dx
20. ∫  (2x3 – 5x1/2 + 7x2/3) dx                                  
21. [pic 42]
22. [pic 43]
23. [pic 44]
24. ∫ (x2 + 5x – 4).x-1/2 [pic 45]dx      

1. Calcule as Integrais definidas:

1. [pic 46]
2. [pic 47]
3. [pic 48]
4. [pic 49]
5. [pic 50]
6. [pic 51]
7. [pic 52]
8. [pic 53]
9. [pic 54]        
10. [pic 55]
11. [pic 56]
12. [pic 57]
13. [pic 58]
14. [pic 59]
15. [pic 60]
16. [pic 61]
17. [pic 62]
18. [pic 63]

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