Prøve uden hjælpemidler 2fMa

  1. Kapitalfremskrivning med begyndelsesværdi og slutværdi
    chart?chf=bg,s,00000000&cht=tx&chl=S%3DB%5Ccdot%20(1%2Br)&chs=196x38
  2. Vækstrate
    chart?chf=bg,s,00000000&cht=tx&chl=r%3D%5Cfrac%7BS%7D%7BB%7D-1&chs=140x68
  3. Procentvis ændring
    chart?chf=bg,s,00000000&cht=tx&chl=p%25%3Dr%5Ccdot100%25&chs=214x38
  4. Kapitalfremskrivning
    chart?chf=bg,s,00000000&cht=tx&chl=K%3DK_0%5Ccdot(1%2Br)%5En&chs=254x46
  5. Proportionalitet
    chart?chf=bg,s,00000000&cht=tx&chl=y%3Dk%5Ccdot%20x&chs=118x36
  6. Omvendt proportionalitet
    chart?chf=bg,s,00000000&cht=tx&chl=y%3Dk%5Ccdot%20%5Cfrac%7B1%7D%7Bx%7D&chs=120x58
  7. Kvadratet på en sum
    chart?chf=bg,s,00000000&cht=tx&chl=(a%2Bb)%5E2%3Da%5E2%2Bb%5E2%2B2ab&chs=348x46
  8. Kvadratet på en differens
    chart?chf=bg,s,00000000&cht=tx&chl=(a-b)%5E2%3Da%5E2%2Bb%5E2-2ab&chs=344x46
  9. To tals sum gange samme to tals differens
    chart?chf=bg,s,00000000&cht=tx&chl=(a%2Bb)(a-b)%3Da%5E2-b%5E2&chs=342x44
  10. chart?chf=bg,s,00000000&cht=tx&chl=a%5Er%20%5Ccdot%20a%5Es&chs=82x26
    chart?chf=bg,s,00000000&cht=tx&chl=a%5E%7Br%2Bs%7D&chs=68x28
  11. chart?chf=bg,s,00000000&cht=tx&chl=%5Cfrac%7Ba%5Er%7D%7Ba%5Es%7D&chs=32x60
    chart?chf=bg,s,00000000&cht=tx&chl=a%5E%7Br-s%7D&chs=66x26
  12. chart?chf=bg,s,00000000&cht=tx&chl=(a%5Er)%5Es&chs=72x46
    chart?chf=bg,s,00000000&cht=tx&chl=a%5E%7Br%5Ccdot%20s%7D&chs=54x26
  13. chart?chf=bg,s,00000000&cht=tx&chl=(a%20%5Ccdot%20b)%5Er&chs=92x46
    chart?chf=bg,s,00000000&cht=tx&chl=a%5Er%5Ccdot%20b%5Er&chs=82x36
  14. chart?chf=bg,s,00000000&cht=tx&chl=%5Cleft(%5Cfrac%7Ba%7D%7Bb%7D%5Cright)%5Er&chs=68x70
    chart?chf=bg,s,00000000&cht=tx&chl=%5Cfrac%7Ba%5Er%7D%7Bb%5Er%7D&chs=34x68
  15. chart?chf=bg,s,00000000&cht=tx&chl=a%5E0&chs=36x30
    chart?chf=bg,s,00000000&cht=tx&chl=1&chs=14x28
  16. chart?chf=bg,s,00000000&cht=tx&chl=a%5E%7B-r%7D&chs=52x26
    chart?chf=bg,s,00000000&cht=tx&chl=%5Cfrac%7B1%7D%7Ba%5Er%7D&chs=32x62
  17. chart?chf=bg,s,00000000&cht=tx&chl=%5Csqrt%5Br%5D%7Ba%7D&chs=36x40
    chart?chf=bg,s,00000000&cht=tx&chl=a%5E%7B%5Cfrac%7B1%7D%7Br%7D%7D&chs=36x50
  18. chart?chf=bg,s,00000000&cht=tx&chl=%5Csqrt%5Bs%5D%7Ba%5Er%7D&chs=56x48
    chart?chf=bg,s,00000000&cht=tx&chl=a%5E%7B%5Cfrac%7Br%7D%7Bs%7D%7D&chs=38x46
  19. Ensvinklede trekanter, forstørrelsesfaktor 1
    chart?chf=bg,s,00000000&cht=tx&chl=%5Cfrac%7Ba_1%7D%7Ba%7D%3D%5Cfrac%7Bb_1%7D%7Bb%7D%3D%5Cfrac%7Bc_1%7D%7Bc%7D%3Dk&chs=230x72
  20. Ensvinklede trekanter, forstørrelsesfaktor 1
    chart?chf=bg,s,00000000&cht=tx&chl=a_1%3Dk%5Ccdot%20a%5C%5C%20b_1%3Dk%5Ccdot%20b%5C%5Cc_1%3Dk%5Ccdot%20c&chs=132x108
  21. Pythagoras læresætning
    chart?chf=bg,s,00000000&cht=tx&chl=c%5E2%3Da%5E2%2Bb%5E2&chs=176x38
  22. Cosinus i en retvinklet trekant
    chart?chf=bg,s,00000000&cht=tx&chl=cosA%3D%5Cfrac%7Bb%7D%7Bc%7D&chs=136x60
  23. Sinus i en retvinklet trekant
    chart?chf=bg,s,00000000&cht=tx&chl=sinA%3D%5Cfrac%7Ba%7D%7Bc%7D&chs=138x52
  24. Tangens i en retvinklet trekant
    chart?chf=bg,s,00000000&cht=tx&chl=tanA%3D%5Cfrac%7Ba%7D%7Bb%7D&chs=144x60
  25. Cosinusrelationen
    chart?chf=bg,s,00000000&cht=tx&chl=c%5E2%3Da%5E2%2Bb%5E2-2ab%5Ccdot%20cosC%5C%5CcosC%3D%5Cfrac%7Ba%5E2%2Bb%5E2-c%5E2%7D%7B2ab%7D&chs=360x110
  26. Sinusrelationen
    chart?chf=bg,s,00000000&cht=tx&chl=%5Cfrac%7BsinA%7D%7Ba%7D%3D%5Cfrac%7BsinB%7D%7Bb%7D%3D%5Cfrac%7BsinC%7D%7Bc%7D%5C%5C%5Cfrac%7Ba%7D%7BsinA%7D%3D%5Cfrac%7Bb%7D%7BsinB%7D%3D%5Cfrac%7Bc%7D%7BsinC%7D&chs=306x136
  27. Trekantens areal
    chart?chf=bg,s,00000000&cht=tx&chl=T%3D%5Cfrac%7B1%7D%7B2%7D%5Ccdot%20ab%5Ccdot%20sinC&chs=230x64
  28. Hældningskoefficient for ret linje gennem to punkter
    chart?chf=bg,s,00000000&cht=tx&chl=a%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D&chs=154x68
  29. Den rette linjes ligning
    chart?chf=bg,s,00000000&cht=tx&chl=y%3Dax%2Bb&chs=152x36
  30. Linjens ligning hvis punkt og hældningskoefficient kendt
    chart?chf=bg,s,00000000&cht=tx&chl=y%3Da(x-x_1)%2By_1&chs=260x44
  31. Parablens ligning
    chart?chf=bg,s,00000000&cht=tx&chl=y%3Dax%5E2%2Bbx%2Bc&chs=242x36
  32. Toppunkt for en parabel
    chart?chf=bg,s,00000000&cht=tx&chl=T%3D%5Cleft(%5Cfrac%7B-b%7D%7B2a%7D%2C%5Cfrac%7B-d%7D%7B4a%7D%5Cright)&chs=202x72
  33. 1. gradspolynomium, forskrift
    chart?chf=bg,s,00000000&cht=tx&chl=f(x)%3Dax%2Bb&chs=194x38
  34. 2. gradspolynomium, forskrift
    chart?chf=bg,s,00000000&cht=tx&chl=f(x)%3Dax%5E2%2Bbx%2Bc&chs=282x38
  35. 2. gradspolynomium, forskrift, hvis to rødder kendt
    chart?chf=bg,s,00000000&cht=tx&chl=f(x)%3Da(x-x_1)(x-x_2)&chs=368x40
  36. Diskriminant
    chart?chf=bg,s,00000000&cht=tx&chl=d%3Db%5E2-4ac&chs=184x36
  37. chart?chf=bg,s,00000000&cht=tx&chl=ln%20e&chs=44x28
    chart?chf=bg,s,00000000&cht=tx&chl=1&chs=14x28
  38. Isoler x
    chart?chf=bg,s,00000000&cht=tx&chl=y%3Dlnx&chs=112x36
    chart?chf=bg,s,00000000&cht=tx&chl=x%3De%5Ex&chs=92x26
  39. chart?chf=bg,s,00000000&cht=tx&chl=ln(a%5Ccdot%20b)&chs=106x38
    chart?chf=bg,s,00000000&cht=tx&chl=ln(a)%2Bln(b)&chs=180x38
  40. chart?chf=bg,s,00000000&cht=tx&chl=ln%5Cleft(%5Cfrac%7Ba%7D%7Bb%7D%5Cright)&chs=86x62
    chart?chf=bg,s,00000000&cht=tx&chl=ln(a)-ln(b)&chs=178x38
  41. chart?chf=bg,s,00000000&cht=tx&chl=ln(a%5Er)&chs=88x38
    chart?chf=bg,s,00000000&cht=tx&chl=r%5Ccdot%20ln(a)&chs=108x38
  42. Isoler x
    chart?chf=bg,s,00000000&cht=tx&chl=y%3Dlogx&chs=126x36
    chart?chf=bg,s,00000000&cht=tx&chl=x%3D10%5Ey&chs=108x36
  43. chart?chf=bg,s,00000000&cht=tx&chl=log(10)&chs=100x38
    chart?chf=bg,s,00000000&cht=tx&chl=1&chs=14x28
  44. chart?chf=bg,s,00000000&cht=tx&chl=log(a%5Ccdot%20b)&chs=120x38
    chart?chf=bg,s,00000000&cht=tx&chl=log(a)%2Blog(b)&chs=208x38
  45. chart?chf=bg,s,00000000&cht=tx&chl=log%5Cleft(%5Cfrac%7Ba%7D%7Bb%7D%5Cright)&chs=102x62
    chart?chf=bg,s,00000000&cht=tx&chl=log(a)-log(b)&chs=206x38
  46. chart?chf=bg,s,00000000&cht=tx&chl=log(a%5Er)&chs=102x38
    chart?chf=bg,s,00000000&cht=tx&chl=r%5Ccdot%20log(a)&chs=122x38
  47. Størrelse på vækstrate og fremskrivningsfaktor for en eksponentiel voksende funktion
    chart?chf=bg,s,00000000&cht=tx&chl=r%3E0%5C%5Ca%3E1&chs=66x58
  48. Forskrift for en eksponentiel voksende funktion, tre udgaver
    chart?chf=bg,s,00000000&cht=tx&chl=f(x)%3Db%5Ccdot%20a%5Ex%5C%5Cf(x)%3Db%5Ccdot%20(1%2Br)%5Ex%5C%5C%20f(x)%3Db%5Ccdot%20e%5E%7Bkx%7D&chs=260x122
  49. Fremskrivningsfaktoren ud fra to punkter på grafen
    chart?chf=bg,s,00000000&cht=tx&chl=a%3D%5Csqrt%5Bx_2-x_1%5D%7B%5Cfrac%7By_2%7D%7By_1%7D%7D%3D%5Cleft(%5Cfrac%7By_2%7D%7By_1%7D%5Cright)%5E%7B%5Cfrac%7B1%7D%7Bx_2-x_1%7D%7D&chs=352x110
  50. Fordoblingskonstanten
    chart?chf=bg,s,00000000&cht=tx&chl=T_2%3D%5Cfrac%7Blog(2)%7D%7Blog(a)%7D%3D%5Cfrac%7Bln(2)%7D%7Bln(a)%7D%3D%5Cfrac%7Blog(2)%7D%7Bk%7D&chs=392x86
  51. Størrelse af fremskrivningsfaktor og vækstrate for en eksponentiel aftagende funktion
    chart?chf=bg,s,00000000&cht=tx&chl=0%3Ca%3C1%5C%5Cr%3C0&chs=112x58
  52. Forskrift for en eksponentielt aftagende funktion, tre udgaver
    chart?chf=bg,s,00000000&cht=tx&chl=f(x)%3Db%5Ccdot%20a%5Ex%5C%5Cf(x)%3Db%5Ccdot%20(1%2Br)%5Ex%5C%5Cf(x)%3Db%5Ccdot%20e%5E%7B-kx%7D%2C%5C%20hvor%5C%20k%3D-ln(a)&chs=486x122
  53. Halveringskonstanten
  54. Forskrift for en potensfunktion
    chart?chf=bg,s,00000000&cht=tx&chl=f(x)%3Db%5Ccdot%20x%5Ea&chs=174x38
  55. Størrelse af eksponent i potensfunktion, hvis funktionen er aftagende
    chart?chf=bg,s,00000000&cht=tx&chl=a%3C0&chs=64x30
  56. Størrelse af eksponent i potensfunktion, hvis funktionen er en ret linje
    chart?chf=bg,s,00000000&cht=tx&chl=a%3D1&chs=72x28
  57. Størrelse af eksponent i potensfunktion, hvis funktionen er voksende, to muligheder
    chart?chf=bg,s,00000000&cht=tx&chl=0%3Ca%3C1%5C%20vokser%5C%20og%5C%20flader%5C%20mere%5C%20og%5C%20mere%5C%20ud%5C%5Ca%3E1%5C%20vokser%5C%20og%5C%20bliver%5C%20mere%5C%20og%5C%20mere%5C%20stejl&chs=644x72
  58. Bestemmelse af eksponenten ud fra to punkter på grafen
    chart?chf=bg,s,00000000&cht=tx&chl=a%3D%5Cfrac%7Blog%5Cleft(%5Cfrac%7By_2%7D%7By_1%7D%5Cright)%7D%7Blog%5Cleft(%5Cfrac%7Bx_2%7D%7Bx_1%7D%5Cright)%7D%3D%5Cfrac%7Blog(y_2)-log(y_1)%7D%7Blog(x_2)-log(x_1)&chs=414x132

    chart?chf=bg,s,00000000&cht=tx&chl=a%3D%5Cfrac%7Bln%5Cleft(%5Cfrac%7By_2%7D%7By_1%7D%5Cright)%7D%7Bln%5Cleft(%5Cfrac%7Bx_2%7D%7Bx_1%7D%5Cright)%7D%3D%5Cfrac%7Bln(y_2)-ln(y_1)%7D%7Bln(x_2)-ln(x_1)%7D&chs=374x132
  59. Når x vokser med en procentsats i en potensfunktion
    chart?chf=bg,s,00000000&cht=tx&chl=1%2Br_y%3D(1%2Br_x)%5Ea&chs=250x46
  60. Tangentligningen
    Image Upload 1
  61. Image Upload 2
    Image Upload 3
  62. Image Upload 4
    Image Upload 5
  63. Image Upload 6
    Image Upload 7
  64. chart?chf=bg,s,00000000&cht=tx&chl=f(x)%3Dk&chs=124x38
    chart?chf=bg,s,00000000&cht=tx&chl=f'(x)%3D0&chs=136x44
  65. chart?chf=bg,s,00000000&cht=tx&chl=f(x)%3Dax%2Bb&chs=194x38
    chart?chf=bg,s,00000000&cht=tx&chl=f'(x)%3Da&chs=138x44
  66. chart?chf=bg,s,00000000&cht=tx&chl=f(x)%3Dx%5E2&chs=140x38
    chart?chf=bg,s,00000000&cht=tx&chl=f'(x)%3D2x&chs=158x44
  67. chart?chf=bg,s,00000000&cht=tx&chl=f(x)%3D%5Csqrt%7Bx%7D&chs=148x40
    chart?chf=bg,s,00000000&cht=tx&chl=f'(x)%3D%5Cfrac%7B1%7D%7B2%5Csqrt%7Bx%7D%7D&chs=176x76
  68. chart?chf=bg,s,00000000&cht=tx&chl=f(x)%3D%5Cfrac%7B1%7D%7Bx%7D&chs=130x58
    chart?chf=bg,s,00000000&cht=tx&chl=f'(x)%3D-%5Cfrac%7B1%7D%7Bx%5E2%7D&chs=186x64
  69. chart?chf=bg,s,00000000&cht=tx&chl=(k%5Ccdot%20f)'(x)&chs=142x46
    chart?chf=bg,s,00000000&cht=tx&chl=k%20%5Ccdot%20f'(x)&chs=116x44
  70. chart?chf=bg,s,00000000&cht=tx&chl=(f%2Bg)'(x)&chs=162x46
    chart?chf=bg,s,00000000&cht=tx&chl=f'(x)%2Bg'(x)&chs=192x44
  71. chart?chf=bg,s,00000000&cht=tx&chl=(f-g)'(x)&chs=160x46
    chart?chf=bg,s,00000000&cht=tx&chl=f'(x)-g'(x)&chs=190x44
  72. chart?chf=bg,s,00000000&cht=tx&chl=f(x)%3Dx&chs=126x38
    chart?chf=bg,s,00000000&cht=tx&chl=f'(x)%3D1&chs=134x44
  73. chart?chf=bg,s,00000000&cht=tx&chl=f(x)%3Dx%5En&chs=142x38
    chart?chf=bg,s,00000000&cht=tx&chl=f'(x)%3Dn%5Ccdot%20x%5E%7Bn-1%7D&chs=230x44
  74. chart?chf=bg,s,00000000&cht=tx&chl=f(x)%3Dln(x)&chs=180x38
    chart?chf=bg,s,00000000&cht=tx&chl=f'(x)%3D%5Cfrac%7B1%7D%7Bx%7D&chs=142x58
  75. chart?chf=bg,s,00000000&cht=tx&chl=f(x)%3De%5Ex&chs=138x38
    chart?chf=bg,s,00000000&cht=tx&chl=f'(x)%3De%5Ex&chs=152x44
  76. chart?chf=bg,s,00000000&cht=tx&chl=f(x)%3Da%5Ex&chs=140x38
    chart?chf=bg,s,00000000&cht=tx&chl=f'(x)%3Dln(a)%5Ccdot%20a%5Ex&chs=246x44
  77. Stamfunktion til chart?chf=bg,s,00000000&cht=tx&chl=e%5Ex&chs=32x26
    chart?chf=bg,s,00000000&cht=tx&chl=e%5Ex&chs=32x26
  78. Stamfunktion til chart?chf=bg,s,00000000&cht=tx&chl=e%5E%7Bk%5Ccdot%20x%7D&chs=56x30
    chart?chf=bg,s,00000000&cht=tx&chl=%5Cfrac%7B1%7D%7Bk%7D%5Ccdot%20e%5E%7Bkx%7D&chs=86x66
  79. Stamfunktion til chart?chf=bg,s,00000000&cht=tx&chl=a%5E%20x&chs=36x26
    chart?chf=bg,s,00000000&cht=tx&chl=%5Cfrac%7Ba%5Ex%7D%7Bln(a)%7D&chs=70x74
  80. Stamfunktion til chart?chf=bg,s,00000000&cht=tx&chl=x%5Ea&chs=36x26
    chart?chf=bg,s,00000000&cht=tx&chl=%5Cfrac%7B1%7D%7Ba%2B1%7Dx%5E%7Ba%2B1%7D&chs=136x66
  81. Stamfunktion til chart?chf=bg,s,00000000&cht=tx&chl=%5Csqrt%7Bx%7D%3Dx%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D&chs=118x60
    chart?chf=bg,s,00000000&cht=tx&chl=%5Cfrac%7B2%7D%7B3%7Dx%5Csqrt%7Bx%7D%3D%5Cfrac%7B2%7D%7B3%7Dx%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D&chs=182x76
  82. Stamfunktion til chart?chf=bg,s,00000000&cht=tx&chl=cos(x)&chs=94x38
    chart?chf=bg,s,00000000&cht=tx&chl=sin(x)&chs=92x38
  83. Stamfunktion til chart?chf=bg,s,00000000&cht=tx&chl=sin(x)&chs=92x38
    chart?chf=bg,s,00000000&cht=tx&chl=-cos(x)&chs=122x38
  84. chart?chf=bg,s,00000000&cht=tx&chl=%5Cint%20k%5Ccdot%20f(x)%20dx&chs=174x44
    chart?chf=bg,s,00000000&cht=tx&chl=k%5Ccdot%20%5Cint%20f(x)%20dx&chs=168x44
  85. chart?chf=bg,s,00000000&cht=tx&chl=%5Cint%20f(x)%2Bg(x)%20dx&chs=240x44
    chart?chf=bg,s,00000000&cht=tx&chl=%5Cint%20f(x)%20dx%2B%5Cint%20g(x)%20dx&chs=324x84
  86. chart?chf=bg,s,00000000&cht=tx&chl=%5Cint%20f(x)-g(x)%20dx&chs=238x44
    chart?chf=bg,s,00000000&cht=tx&chl=%5Cint%20f(x)%20dx-%5Cint%20g(x)%20dx&chs=304x44
Author
AnneSkand
ID
331509
Card Set
Prøve uden hjælpemidler 2fMa
Description
Aarsprøve formler
Updated