Formulario De Calculo

FORMULAS DE DERIVACION

1. ddxx=1

2. ddxc=0

3. ddxxn=nxn-1

4. ddxu+v-w=dudx+dvdx-dwdx

5. ddxVn=nVn-1dvdx

6. ddxCV=Cdvdx

7. ddxUV=Udvdx+Vdudx

8.ddxUV=Vdudx-UdvdxV2

9. ddxVC=dvdxC

10. ddxLogV=dvdxVLog e

11. ddx(InV)=dvdxV

12. ddxaV=dvdx aV In a

13. ddxeV= dvdx eV

14. ddxUV=VUV-1 dudx+ InU*UVdvdx

15.ddxsinV=dvdxcosV

16. ddxcosV=-dvdxsinV

17. ddxtanV=dvdxsec2V

18. ddxcotV=-dvdxcsc2V

19. ddxsecV=dvdxsecVtanV

20. ddxcscV=-dvdxcscVcotV

21. ddxarcsinV= dvdx1-V2

22.ddxarccosV= -dvdx1-V2

23. ddxarctanV= dvdx1+V2

24. ddxarccotV=- dvdx1+V2

25. ddxarcsecV=dvdxVV2-1

26. ddxarccscV=-dvdxVV2-1

PROPIEDADES DE LOS LOGARIRTMOS

LogA+LogB=LogABInA+InB=InAB

LogA-LogB=LogAB InA-InB=InAB

kLogA=LogAK kInA=InAK

eInA=AIn e=1

ECUACIONES PARAMETRICAS
dydx=dydθdxdθ d2yd2x=d2ydθdxdθ

FORMULAS DE PENDIENTEsubTan=y0m subNormal=my0

Tan= (ST)2+(y0)2

Tan=y0sinθ Tan=y0θ

Normal= y0cosθ Normal=y0secθ

FORMULAS DE CURVATURA RADIO DE CURVATURA
k=y"(1+y'2)32R=(1+y'2)32y"

CENTRO DE CURVATURA
C(α,β)
α=x-y'(1+y'2)y" β=y+y'(1+y'2)y"

COORDENADAS POLARES
tanψ=tan∅-tan∅21+tan∅tan∅2tan∅=rr'

FORMULAS DE INTEGRACIÓN

1. Vndv= vn+1n+1+C

2. dx=x+C

3. adv=adv+C

4. du+dv-dw=du+dv-dw+C

5. dvV=v-1dv=Inv+C

6. avdv=avIna+C

7.evdv=ev+C

8. sinvdv=-cosv+C

9. cosvdv=sinv+C

10. sec2vdv=tanv+C

11. csc2vdv=-cotv+C

12. secvtanvdv=secv+C

13. cscvcotvdv=-cscv+C

14. tanvdv=-Incosv+C...