MATEMÀTIQUES APLICADES A LES CIÈNCIES SOCIALS 2n BTX
Determina la funció derivada de les següents funcions:
1.
f(x) = 5x3 + 4x2 – 3x + 2
2.
f(x) = 3 x2 + 3 x
3.
f(x) = (x2 + 3x) · ln x
4.
f(x) = 2x + 3
3x – 1
5.
f(x) =
x+3
x – 3x +2
.
2
6.
f(x) = 2x – 1
ex
7.
f(x) = (x2 + 3x – 2)4
8.
f(x) = ln (x4 + 3x2 + 2)
9.
f(x) = ln x + 2
x–1
2
10. f(x) = ln x +1
x3 + 4x2 – 3x + 5
11. f(x) = 4
12. f(x) = ln 3x – 2
2x – 8
13. f(x) = ln (x3 – 2x)
x2 + 3
14. f(x) = (8x2 + 3x) · (- 3x2)
DERIVADES
15. f(x) = 3 5 x9
16. f(x) = (x2 – ln x) · ex
17. f(x) = x2 – 3
x2
18. f(x) = ex + 3
ln x
19. f(x) = 7 5 x12
x
20. f(x) = (8x2 – x – 1) · (– 3x2 + 3x)
21. f(x) = – x5 – log5 x + 12
22. f(x) = 2ex + log7 x
ln x
23. f(x) = x12
ln x
24. f(x) = log x
8x
25. f(x) =
7x2 – 3x
– 2x2 – 5
26. f(x) = 4x + ln x
27.
f(x) = ln (5x)
28. f(x) = x2
7x
29. f(x) = log6 x5
30. f(x) = 3x3 – 3 x
31. f(x) = 3 4x – 5
32. f(x) = 5x · ln x
33. f(x) = (x3 + x) · e-x
34. f(x) = log (ln x)
35. f(x) = xe
x2 + 1
36. f(x) = 2
37. f(x) = 2x (ex + 3)
38. f(x) = 7x · log5 x
39. f(x) = 5 · log x
2 · ln x
x2 + 2
3
40. f(x) = log3 (x + 1) + 3
