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Practica Calculo


Enviado por   •  1 de Mayo de 2013  •  8.681 Palabras (35 Páginas)  •  346 Visitas

Página 1 de 35

FORMULA 1

Y=13

dy = d(13)

dx dx

dy = 0

dx

Y= 6c2

dy = d(6c2)

dx dx

dy = 0

dx

Y= 9x

dy = d(9x)

dx dx

dy = 0

dx

Y= c

dy = d(c)

dx dx

dy = 0

dx

Y= 3

dy = d(3)

dx dx

dy = 0

dx

FORMULA 2

Y= x

dy = d(x)

dx dx

dy = 1

dx

Y= 6x

dy = d(6x)

dx dx

dy = 6dx

dx dx

dy = 6(1)

dx

dy = 6

dx

Y= Bx+x

dy = d(Bx+x)

dx dx

dy = Bdx + dx

dx dx dx

dy = B (1) +1

dx

dy = B+1

dx

Y= x+x

dy = d(x+x)

dx dx

dy = dx + dx

dx dx dx

dy = 1+1

dx

dy = 2

dx

Y= 8x

dy = d(8x)

dx dx

dy = 8dx

dx dx

dy = 8(1)

dx

dy = 8

d

FORMULA 3

Y= 2a+ab+7b

dy = d( 2a+ab+7b)

dx dx

dy = d(2a)+ d(ab) + d(7b)

dx dx dx dx

dy = 0+0+0

dx

dy = 0

dx

Y=c+x+9

dy=d(c+x+9)

dx dx

dy=d(c)+dx+d(9)

dx dx dx dx

dy=0+1+0

dx

dy=1

dx

Y= 10b+bc+a2

dy = d(10b+bc+a2)

dx dx

d

y = d(10b)+ d(bc) + d(a2)

dx dx dx dx

dy = 0+0+0

dx

dy = 0

d

Y= 8x+10x+x+b

dy = d(6x+3x+x+b)

dx dx

dy = d(6x)+ d(3x) + d(x) + d(b)

dx dx dx dx dx

dy = 6dx+ 3dx + dx + db

dx dx dx dx dx

dy = 6(1)+3(1)+1+0

dx

dy = 6+3+1+0

dx

dy = 10

dx

Y=x+x+x

dy=d(x+x+x)

dx dx

dy= dx + dx+dx

dx dx dx dx

dy=1+1+1

dx

dy= 3

dx

FORMULA 4

Y= 4x

dy = d(4x)

dx dx

dy = 4dx

dx dx

dy = 4(1)

dx

dy = 4

dx

Y= 21x

dy = d(21x)

dx dx

dy = 21dx

dx dx

dy = 21(1)

dx

dy = 21

dx

Y= 2x

dy = d(2x)

dx dx

dy = 2dx

dx dx

dy = 2(1)

dx

dy = 2

dx

Y= 8x

dy = d(8x)

dx dx

dy = 8dx

dx dx

dy = 8(1)

dx

dy = 8

dx

Y= 5x

dy = d(5x)

dx dx

dy = 5dx

dx dx

dy = 5(1)

dx

dy = 5

dx

FORMULa

Y= x =x √a-bx

√a-bx

y = x (a-bx) 1/2

dy = x d(a-bx)1/2 + (a-bx)1/2 d(x)

dx dx dx

dy = x 1 (a-bx)-1/2 d(a-bx) + (a-bx)1/2

dx 2 dx

dy = x 1 (a-bx)-1/2 d(a) – d(bx) + (a-bx)1/2

dx 2 dx dx

dy = x 1 (a-bx)-1/2 bdx + (a-bx)1/2

dx 2 dx

dy = x 1 (a-bx)-1/2 (- b) + (a-bx)1/2

dx 2

dy = -bx) + √a-bx

dx 2√a-bx

• Y= (x+2)√x2+2

y = (x+2)(x2+2)1/2

dy = (x+2)d(x2+2)1/2 + (x2+2)1/2 d (x+2)

dx dx dx

dy = (x+2)1(x2+2)-1/2 d (x2+2)+ (x2+2)1/2 d(x) + d(2)

dx 2 dx dx dx

dy = 1 (x+2)(x2+2)-1/2 d (x2) + d(2)+ (x2+2)1/2 (1)

dx 2 dx dx

dy = 1 (x+2)(x2+2)-1/2 (2x) + (x2+2)1/2

dx 2

dy = 2x(x+2) + √x2+2

dx 2(x2+2)-1/2

dy = x(x+2) + √x2+2

dx √x2+2

Y= (3x2+2)√1+5x2

y = (3x2+2) (1+5x2) 1/2

dy = (3x2+2) d (1+5x2) ½ + (1+5x2) ½ d(3x2+2)

dx dx dx

dy = (3x2+2) 1 (1+5x2)- ½ d (1+5x2)+ (1+5x2)½ d(3x2 )+ d(2) dx 2 dx dx dx

dy = (3x2+2) 1 (1+5x2)- ½ d (1)+ d(5x2)+ (1+5x2)½ 2(3x2-1 ) dx 2 dx dx

dy = (3x2+2) 1 (1+5x2)- ½ + 2(5x2)+ (1+5x2)½ 6x dx 2

dy = (3x2+2) 1 (1+5x2)- ½ + 10x+ (1+5x2)½ 6x dx 2

dy = 5x(3x2+2) (1+5x2)- ½ + (1+5x2)½ 6x

dx

dy = 5x(3x2+2) + 6x √1+5x2

...

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