Violencia

Derivadas | Trigonométricas inversas |
d(c)dx=0 d( x)dx=1dxdx(u+v-w)=dudx+dvdx -dwdx dcvdx=C dvdx d(xn)1dx=nxn-1 d(vn )dx=nvn-1dvdx duvdx=Udvdx-v du d(uv)dx=Vdudx- U dvdxV2dcvdx =-c dvdxv2d( u c)dx =dudxcdydx=dydx∙dvdx Siendo “y” Función de “V”dydx=1dxdy Siendo “y” Función de “X” | ddx(arcsenv)=dudx1-v2ddx(arccosv)= - dvdx1-v2ddx(arctgv)=-dvdx1+v2ddx(arcctg)= - dvdx1+v2ddx(arcsecv)=dvdxvv2-1 ddx(arccscv)= - dvdxvv2-1 ddx(arcversv)= dvdx2v-v2 |
Propiedades de los Logaritmos |
I. lnab= lna – lnbII. lnab = lna + lnbIII. lna2=n lnaIV. lna=1n lna |
Trigonométricas directas |
dsen v dx=cosV dvdx d(cosv) dx= -sen V dvdx d(tg v)dx= sec2 V dudx d(ctg v)dx= csc2 Vdudx d(secv)dx=secv tg VdVdx d(cscv) dx= -cscv ctg Vdvdxdversvdx=senvdvdx |
Relaciones Trigonométricas |
Sen2 x+Cos2x=1 1+tg2x=sec2x 1+ctg2x=csc2x sen2x=12-12cos2x cos2x=12+12cos2x sen2x=2senx cosxcos2x=cos2x-sen2x tg2x=2tgx1-tg2x sec2x+tg2x=1 |

Logarítmicas |
d(ev)dx= evdvdx d(av)dx= av lnadvdxd(logv)dx=logev dvdx d(lnv)dx= dvdxvd(uv )dx=vuv-1dudx+u∙uvdvdx |
Identidades Trigonométricas|
Sen x 1cscx Cos x 1secxTg x=1ctgx=senxcosxCtg x=1tgx=cosxsenxSec x=1cosxCsc x=1senx |
Valores exactos de los ángulos |
Angulo | sen | cos | tan | cot | sec | csc |
30° | 12 | 123 | 133 |3 | 233 | 2 |
45° | 122 | 122 | 1 | 1 | 2 | 2 |
60° | 123 | 12 | 3 | 123 | 2 | 233 |
90° | 1 | 0 | ±∞ | 0 | ±∞ | 1 |
120° | 123 | - 12 | - 3 | - 133 | -2 | 233 |
Valores exactos de losángulos |
Angulo | sen | cos | tan | cot | sec | csc |
180° | 0 | -1 | 0 | ±∞ | -1 | ±∞ |
270° | -1 | 0 | ±∞ | 0 | ±∞ | -1 |
300° | - 123 | - 12 | - 3 | - 133 | 2 | - 233 |
360° | 0 | 1 | 0 |±∞ | ±∞ | |
720° | 0 | 1 | 0 | ±∞ | 1 | ±∞ |


23 formulas de Integracion | 5 casos de Integracion (Integracion de diferenciales Trigonométricas) |
1.)∫du+dv-dw=∫du+ ∫dv- ∫dw .2.)adv=a...