Resolucion de 10 ejercicios de derivacion

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ESTOS ME LOS DEJO ELPROFESOR: MIGUEL ANGEL.
"espero q les sirvan"

1.- F(X)= (3X2+5)X4+1=
U’= 6X F’(X)= (3X2+5)4X3+X4+1(6X)
V’= 4X3 =12X5+20X3+6X5+6XF’(X)=18X5+20X3+6X
2.- H(X)= (5X7-1)4X5-6=
U’=35X6 H’(X)= (5X7-1)(20X4)+(4X5-6)(35X6)
V’=20X4=100X11-20X4+140X11-210X4
H’(X)=240X11-210X6-20X4
3.- R(X)= X5+X2+5X3+1=
U’=5X4+2X R’(X)=(X3+1)5X4+2X-X5+X2+5(3X2)(X3+1)2
V’=3X2R’(X)=5X7+5X4+2X4+2X-3X7-3X415X2(X3+1)2
R’(X)=2X7+4X4-15X2+2X(X3+1)2

4.- G(X)= X2-4X+2=
U’= 2X G’(X)=X+22X-X2-4(1)(X+2)2
V’=1G’(X)=2X2+4X-X2+4(X+2)2
G’(X)=X2+4X-4(X+2)2
5.- K(X)= 4X2+8X+32X+3=
U’= 8X+8 K’(X)=2X+38X+8-4X2+8X+3(2)(2X+3)2
V’= 2K’(X)=16X2+24X+16X+24-8X2-16X-6(2X+3)2
K’(X)=-8X2+24X+18(2X+3)2
6.- L(X)=X2+X+1X3-2=
U’= 2X+1 L’(X)=X2+X+13X2X3-2(2X+1)
V’=3X2 =3X4+3X3+3X2+2X4-4X+X3-2L’(X)=5X4+4X3+3X2-4X-2
7.- G(X)=X3+2X2+1=
U’=3X2 G’(X)=X2+13X2-X3+2(2X)(X2+1)2
V’=2X G’(X)=3X3+3X2-2X3-4X(X2+1)2G’(X)=X2+3X2-4X(X2+1)2
8.- T(X) = 2X2+5X1X3=
U’=4x+5 T’(X)= X34X+5-2X2+5X+1(3X2)(X3)2
V’=3x2 T’(x)=4X4+5X3-6X4-15X3-3X2(X3)2T’(X)=-2X4-10X3-3X2(X3)2

9.- F(X) = X2+2X-15X+5=
U’=2X+2 F’(X)= X+52X+2-X2+2X-15(1)(X+5)2
V’=1 F’(X)=2X2+10X+2X+10-X2-2X+15(X+5)2
F’(X)=X2+10X+25(X+5)2

10.- M(X)= 5X2+10XX+2=
U’= 10X+10 M’(X)=X+210X+105X2+10X1X+22
V’=1 M’(X)=...
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