# calculus

The flashcards below were created by user sturgeonnick on FreezingBlue Flashcards.

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)
 Author: sturgeonnick ID: 95562 Card Set: calculus Updated: 2011-07-28 23:47:37 Tags: calculus Folders: Description: derivatives of trig, exponential, inverse trig, hyperbolic, log, inverse hyperbolic; and hyperbolic functions and identities Show Answers: