calculus

Card Set Information

Author:
sturgeonnick
ID:
95562
Filename:
calculus
Updated:
2011-07-28 19:47:37
Tags:
calculus
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Description:
derivatives of trig, exponential, inverse trig, hyperbolic, log, inverse hyperbolic; and hyperbolic functions and identities
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  1. d/dx sinx
    cosx
  2. d/dx cosx
    -sinx
  3. d/dx cscx
    -cscxcotx
  4. d/dx secx
    secxtanx
  5. d/dx tanx
    sec2x
  6. d/dx cotx
    -csc2x
  7. (ax)'
    axlna
  8. (tan-1x)'
    1/(1+x2)
  9. (cot-1x)'
    -1/(1+x2)
  10. (logax)'
    1/xlna
  11. (lnx)'
    1/x
  12. sinhx
    (ex-e-x)/2
  13. coshx
    (ex+e-x)/2
  14. cschx
    1/sinhx
  15. sechx
    1/coshx
  16. tanhx
    sinhx/coxhx
  17. cothx
    coshx/sinhx
  18. sinh(-x)
    -sinhx
  19. cosh(-x)
    coshx
  20. cosh2x-sinh2x
    1
  21. 1-tanh2x
    sech2x
  22. sinh(x+y)
    coshxcoshy+sinhxsinhy
  23. cosh(x+y)
    coshxcoshy+sinhxsinhy
  24. (sinhx)'
    coshx
  25. (coshx)'
    sinhx
  26. (cschx)'
    -cschxcothx
  27. (sechx)'
    -sechxtanhx
  28. (tanhx)'
    sech2x
  29. (cothx)'
    -csch2x
  30. tanh-1x
    • 1/2ln(1+x/1-x)
    • when -1<x<1
  31. (tanh-1x)'
    1/(1-x2)
  32. (coth-1x)'
    1/(1-x2)
  33. (sin-1x)'
    1/(1-x2)1/2
  34. (cos-1x)'
    -1/(1-x2)1/2
  35. (csc-1x)'
    -1/(x(x2-1)1/2)
  36. (sec-1x)'
    1/(x(x2-1)1/2)
  37. (sinh-1x)'
    1/(1+x2)1/2
  38. (cosh-1x)'
    1/(x2-1)1/2
  39. (csch-1x)'
    -1/([x](x2+1)1/2)
  40. (sech-1x)'
    -1/(x(1-x2)1/2)
  41. sinh-1x
    ln(x+(x2+1)1/2)
  42. cosh-1x
    ln(x+(x2-1)1/2)

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