FÓRMULAS DE DERIVACIÓN d d d d 1. ( u + v − w) = u + v − w d d dx dx dx dx 16. (cos v ) = − senv v dx dx d d 2. cv = c v d d dx dx 17. (tgv) = sec 2 v v dx dx d n 3. x = nx n −1 d d dx 18. (ctgv ) = − csc 2 v v dx dx d 4. x =1 d d dx 19. (sec v ) = sec v·tgv v dx dx d 5. c=0 d d dx 20. (csc v ) = − csc v·ctgv v dx dx d n d 6. v = nv n −1 v d dx dx v d dx 21. (arc·senv ) = d d d dx 1− v2 7. uv = u v + v u dx dx dx d v d d d 22. v u−u v (arc·cosv ) = − dx 2 d ⎛u⎞ dx dx dx 1− v 8. ⎜ ⎟= dx ⎝ v ⎠ v2 d v d d dx u 23. (arc·tgv) = d ⎛u⎞ dx 1+ v2 9. ⎜ ⎟ = dx dx ⎝ c ⎠ c d v d d dx 24. ( arc · ctgv ) = − v d dx 1+ v2 10. (ln v ) = dx = 1 d v dx v v dx d v d d log e d dx 25. ( arc ·sec v ) = 11. (log v ) = v dx dx v dx v v2 −1 12. 13. d v d ( a ) = a v ln a v dx dx d v d ( e ) = ev v dx dx d v d dx 26. (arc·cscv ) = − dx v v2 −1 Elaboró: Ing. Venustiano Martínez Lucas d v d d 14. ( u ) = vu v −1 u + ln u·u v v dx dx dx 15. d (senv ) = cos v d v dx dx