| 1. d k=0 |
| dx |
| 2. d [f(x)±g(x)]=f'(x)±g'(x) |
| dx |
| 3. d [f(x)g(x)]=f(x).g'(x)+f'(x)g(x) |
| dx |
| 4. d [f(x)g(x)]=f(x).g'(x)+f'(x)g(x) |
| dx |
| 5. d f(x) = g(x)f'(x)-f(x)g'(x) |
| dx g(x) g[(x)]2 |
| 6. d f(g(x))=f'(g(x)).g'(x) |
| dx |
| 7. d xn=nxn-1 |
| dx |
| 8. d sinx=cosx |
| dx |
| 9. d cosx=-sinx |
| dx |
| 10. d tanx=sec2x |
| dx |
| 11. d cotx=-csc2x |
| dx |
| 12. d secx=secxtanx |
| dx |
| 13. d cscx=-cscxcotx |
| dx |
| 14. d ex=ex |
| dx |
| 15. d ax=axlna |
| dx |
| 16. d lnx=1/x |
| dx |
| 17. d sin-1x= 1 |
| dx √ 1-x2 |
| 18. d cos-1x= -1 |
| dx √ 1-x2 |
| 19. d tan-1x= 1 |
| dx x2+1 |
| 20. d cot-1x= -1 |
| dx x2+1 |
| 21. d sec-1x= 1 |
| dx |x|√ x2-1 |
| 22. d csc-1x= -1 |
| dx |x|√ x2-1 |