Décima quarta lista de pré-cálculo - derivadas

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EXERCÍCIOS SOBRE DERIVADAS
Calcule a derivada primeira de:
y= 4x8-7x3-4x+8
 y = 
 y = 
 y=
 y = 
y= x-1
 y = 
y= (6x-1)2
Calcule a derivada segunda de:
Escreva a equação da tangente às curvas nos pontos dados:
 no ponto de abscissa = 4.
 onde x = 2.
Respostas
01. l5x2 –4x+1
02. 32x7-21x2-4
03. 4x3/(a+b)-6x2/(m+n)
04. 4x3+6/x4-8/(x+2)2
05. 2/5.x-3/5-3/4x-3/4+8/3x-5/3
06. 2x-1/3-x-3/4
07. x-1/2-4x1/3+68/5.x-12/5
08.-8x+10
09. 30x4-66x2+20
10. 80x3-66x2-30x +32
11. (-x2-4x)/(x2-2x-4)2
12. 18t2-24t-4
13. (2m-6)x2m-7+(m-1)xm-2
14. 15/4.x11/4
15. 1
16. 3(1+3x+4x2)2(3+8x)
17. 10x(x2+1)4
18. ( 4x-5)/3.(2x2-5x)2/3
19. (2x+1)/3.(x2+x+1)2/3
20. 3x2+2x+1
21. 2x2/3+3x/2-1/3
22. (2-2x)/x3
23. –3/x4
24. (-4x+2)/(x2-x+1)2
25. 4(x2+3x+5)3(2x+3)
26. (-2x-3)/(x2+3x+5)2
27. (-4x-2)/(x2+x+1)3
28. –1/x2
29. 12(6x-1)
30. 24x-4
31. 240x4-80x3+48x
32. 24/x4
33. 2m
34. 12x2-12x-8
35. y = x/4+1
36. y = 2x 37. y = 37x-53
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