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MATEMATICAS

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Formulas de Derivadas: ' ~~~~!i'~a:o:~~= 1 1 d(c)= 0 J d(x)= 1 2 1;; tan2x= secsx J . n+~ ~J d(u ± v)= d(u) ± d(v) 1 + cot2x:::' csc-x 3 , 4 -d (cv)= c d(v) "=senxcscx= 1 Formulas de Angulos Compuestos: cosxsecx= 1 5 d(uv)= u d(v) + v d(u) d(uvw)= uv d(w) + uw d(v) + vw d(u) ,sen(x ± y)= senxcosy ± cosxseny ';" I tanxcotx= 1 6 !!)_Vd(U)-Ud(V) 0 d( v v2 v:;t; (Cb) - C tanx= ~~: .' 7 sen2x= 2senxcosx ! ~ i-cosx !i2§!!. 8 d( d(v) c:;t;O sen 2 - ± 2' cotx= senx d ( ~ )= -~2 d(v) v:;t;O COS(x± y)= COSXC'osy senxseny ± 9 d(xn)= nxn-, d(x) cos2x = COSi2X sen-xPara una funcion y= f(x) 10 11 d(vn)= nvn-, d(v) cos l!_;__:~H'C6sx, 22 su d enva d a se d e flme: V n n tan(x ± y)= (tanx ± tanv)( 1 ± tanxtony) 12 d(u )= vu -" d(u) + U Ln u d(u) d (ev)= ev d(v) tan2x=(Ztanx) / (t-tan-x) , 13 !_ ~ _ ~. Propiedades de los Logarltmos: 14 .d (eav)= aeav d(v) tan !!- senx- l+oo5X1 l' , Ln M.N=.Ln M + Ln N 15 d(au)= au Ln a d(v) senx + seny= 2sen 2(X+Y) cos 2 (x-y) LnM / N= Ln M - Ln N . d(ln v)= ~ d(v) 1 :). 16 senx - seny= 2cos 2 (x+y) sen~ (x-y). Ln Mn= nLnM d(L09a u)= U(L~8) d(u) cosx + cosy= 2cos ~(x+y) cos 2' (x-y) . Ln c{rij1= LnM 17 d(senv)= COSyd(v) cosx- cosy= isen t (x+y) sen~ (x..y) . c 18 d(cosv)= -senv d(v) senxcosy= ~ [sen(x+y) + sen(x-y)] SustituCi6~ Triqonornetrlca: 19 d(tanv)= sec-v d(v) 2_v2. hagase v=asen8 , cosxseny= ~ [sen(x+y) -...