Formulario
Fórmulas. Derivadas. Trigonometría. Logaritmos
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| DERIVADAS (c)'=0 (x)'=1 (u±v)'=u'±v' (cu)'=cu' (uv)'=u'v+uv' (u/v)'=(u'v-uv')/v²
(c/v)'=-cv'/v² (x )'=nx ¹ ("x)'=1/2"x
(sen x)'=cos x (cos x)'=-sen x
(tg x)'=1/cos²x (cotg x)'=-1/sen²x (arcsen x)'=1/"1-x² (arccos x)'=-1/"1-x² (arctg x)'=1/(1+x²) (a)'=alna (e)'=e (ln x)'=1/x
Regla de la cadena: (f(g(h(x))))'=f'(g(h(x))).g'(h(x)).h'(x) LOGARITMOS Log(a.b)=log a +log b Log(a/b)=log a -log b Log(bª)=a.log b | TRIGONOMETRÍA sen² +cos²=1 tg = sen /cos cotg = cos /sen sec = 1/cos cosec =1/sen sen(-)=-sen cos(-)=cos tg(-)=-tg sen(/2-)=cos cos(/2-)=sen tg(/2-)=cotg sen(/2+)=cos cos(/2+)=-sen tg(/2+)=-cotg sen(-)=sen cos(-)=-cos tg(-)=-tg sen(+)=-sen cos(+)=-cos tg(+)=tg sen(a+b)=sena.cosb+senb.cosa cos(a+b)=cosa.cosb-sena.senb tg(a+b)=(tga+tgb)/(1-tga.tgb) sen(a-b)=sena.cosb-senb.cosa cos(a-b)=cosa.cosb+sena.senb tg(a-b)=(tga-tgb)/(1+tga.tgb) sena+senb=2sen((a+b)/2).cos((a-b)/2) cosa+cosb=2cos((a+b)/2).cos((a-b)/2) sena-senb=2sen((a-b)/2).cos((a+b)/2) cosa-cosb=-2sen((a+b)/2).sen((a-b)/2) sen2a=2sena.cosa cos2a=cos²a-sen²a tg2a=2tga/(1-tg²a) sen(a/2)= ±"(1-cosa)/2 cos(a/2)= ±"(1+cosa)/2 tg(a/2)= ± "(1-cosa)/(1+cosa) |
| DERIVADAS (c)'=0 (x)'=1 (u±v)'=u'±v' (cu)'=cu' (uv)'=u'v+uv' (u/v)'=(u'v-uv')/v²
(c/v)'=-cv'/v² (x )'=nx ¹ ("x)'=1/2"x
(sen x)'=cos x (cos x)'=-sen x
(tg x)'=1/cos²x (cotg x)'=-1/sen²x (arcsen x)'=1/"1-x² (arccos x)'=-1/"1-x² (arctg x)'=1/(1+x²) (a)'=alna (e)'=e (ln x)'=1/x
Regla de la cadena: (f(g(h(x))))'=f'(g(h(x))).g'(h(x)).h'(x) LOGARITMOS Log(a.b)=log a +log b Log(a/b)=log a -log b Log(bª)=a.log b | TRIGONOMETRÍA sen² +cos²=1 tg = sen /cos cotg = cos /sen sec = 1/cos cosec =1/sen sen(-)=-sen cos(-)=cos tg(-)=-tg sen(/2-)=cos cos(/2-)=sen tg(/2-)=cotg sen(/2+)=cos cos(/2+)=-sen tg(/2+)=-cotg sen(-)=sen cos(-)=-cos tg(-)=-tg sen(+)=-sen cos(+)=-cos tg(+)=tg sen(a+b)=sena.cosb+senb.cosa cos(a+b)=cosa.cosb-sena.senb tg(a+b)=(tga+tgb)/(1-tga.tgb) sen(a-b)=sena.cosb-senb.cosa cos(a-b)=cosa.cosb+sena.senb tg(a-b)=(tga-tgb)/(1+tga.tgb) sena+senb=2sen((a+b)/2).cos((a-b)/2) cosa+cosb=2cos((a+b)/2).cos((a-b)/2) sena-senb=2sen((a-b)/2).cos((a+b)/2) cosa-cosb=-2sen((a+b)/2).sen((a-b)/2) sen2a=2sena.cosa cos2a=cos²a-sen²a tg2a=2tga/(1-tg²a) sen(a/2)= ±"(1-cosa)/2 cos(a/2)= ±"(1+cosa)/2 tg(a/2)= ± "(1-cosa)/(1+cosa) |