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CALCULO DIFERENCIAL

DERIVADAS PARA
FUNCIONES ALGEBRAICAS
I. dcdx=0
II. dxdx =1
III. ddxu+v-w=dudx+dvdx-dwdx
IV. ddx (cv) = cdvdx
V. ddx (uv) = udvdx+v dudx
VI.ddx (vn) = nv n-1 dvdx
VIa. ddx (xn) = nx n-1
VII. ddx ( uv ) = vdudx - u dvdxv2
VIIa. ddx ( uc ) = dudxc
VIII. dydx= dydv ∙dvdx, siendo y funcion de v
IX. dydx =1dxdy,siendo y funcion de x
DERIVADAS PARA
FUNCIONES TRASCENDENTALES
X. ddx (ln v) = dvdxv= 1v dvdx (ln v= log e v)
Xa. ddx (log v) = logev dvdx
XI. ddx (av ) = av ln advdxXIa. ddx ( ev )= ev dvdx
XII. ddx ( uv ) = vuv-1 dudx+lnu∙uv dvdx
XIII. ddx (sen V) = cos V dvdx
XIV. ddx (cos v) = sen V dvdx
XV. ddx (tg v) = sec2 v dvdx
XVI. ddx (ctgv) = csc2 v dvdx
XVII. ddx (sec v) = sec v tg v dvdx
XVIII. ddx (csc v) = csc v ctg v dvdx
XIX. ddv vers v = sen V dvdx
XX. ddx (arc sen v) = dvdx1-v2
XXI. ddx (arccos v) = dvdx1-v2
XXII. ddx ( arc tg v) = dvdx1+v2
XXIII. ddx ( arc ctg v) = - dvdx1+v2
XXIV. dvdx (arc sec v) dvdxvv2-1
XXV. ddx (arc csc v) = - dvdxvv2-1
XXVI. ddx (arcvers v) = dvdx2v-v2
* ddx ( cu )= -cu2 dudx
* dvdx = dvdx2v
* dnvdx= dvdxnnvn-1

BINOMIO DE NEWTONALGEBRA
(a+b)0=1 (a2) (a2)=a4(a+b)1=a+b (a) (a2-b3)=a3-ab3
(a+b)2=a2+2ab+b2a2x+ ax3+x2 =x (a2+ax2+x)
(a+b)3=a3+3a2b+3ab2+b3...
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