Solucionario Granville

Deber de Matemáticas
Nombre: Jean Paul Catagua Arteaga
Fecha: sábado 13 de Octubre del 2012 Nivel: 2do “B”

2
2
4
4
9) ddx 3x-2x+8=
3
3
ddx 3x - ddx2x+ ddx8
12x – 4x//
-1/4
-1/4
3/4
3/4

-1/4
-1/4
3/4
3/4
16) ddx2x +4x
-1/4 -1
-1/4 -1
¾-1
¾-1
ddx2x + ddx4x
-5/4
-5/4
-1/4
-1/4
2 . 34x + 414 x
32x - x //

23) f(t) = ( 2 –3t2)3
= 3( 2 – 3t2)3-1 ddt( 2 – 3t2)
= 3( 2 – 3t2)2 ( – 6t)
= – 18t ( 2 – 3t2)2//
2
2
2
2

1/2
1/2
2
2
2
2
30) S = ta + t
1/2
1/2
2
2
2
2
1/2
1/2
2
2
2
2
S = t (a + t )
1/2
1/2
2
2
2
2
-1/2
-1/2
2
2
2
2
S = t ddt (a+t ) + (a+t ) ddt t
1/2
1/2
2
2
2
2
S = t 12 (a+t ) (2t) + (a+t ) (1)
2
2
2
2
1/2
1/2
2
2
2
2
S =t(a + t ) + (a+t )
2
2
2
2
2
2
1/2
1/2
2
2
2
2
S = t + (a + t )(a + t )
2
2
2
2
1/2
1/2
2
2
2
2
S = (t + a + t )(a + t )
1/2
1/2
2
2
2
2
S = a + 2t(a + t ) //

1/2
1/2
2
2
2
2
2
2
2
2
37) y = a + xa - x
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
y = ( a² + x² )( a² - x² )
-1/2
-1/2
1/2
1/21/2
1/2
y = a2- x2 ddx a² + x² - a2+ x2 ddx (a² - x² ) [ a2- x2 ]²
1/2
1/2
1/2
1/2
y= a2- x2 - 12 a2+ x2 2x - a2+ x2-12 a²- x² (-2x) a2- x2
1/2
1/2
1/2
1/2
y = x a²-x² a²+x² +x a²+ x² a² - x² (a² - x² )
1/2
1/2
1/2
1/2
y = x a²-x² a²+x² +x a²+ x² a² - x² (a² - x² )
1/2
1/2
1/2
1/2
y = a²x-x3+a2x+x³ a²+x²( a2-x2) (a² - x² )
1/2
1/2
1/2
1/2
y = 2a²x a²+x² ( a2-x2) (a² - x² )1
3/2
3/2
1/2
1/2
y = 2a²x a²+x² (a²- x²) //

44) y = xa-bx
1/2
1/2
1/2
1/2
1/2
1/2
y = x a-bx
-1/2
-1/2
1/2
1/2
y = a-bx ddxx -xddx (a-bx)[ a-bx ]²
1/2
1/2
1/2
1/2
y = a-bx-x . 12 a-bx . (-b)[ a-bx ]²
1/2
1/2
y = a-bx + bx2(a- bx) a-bx1/2
1/2
y = 2a-bx+bx2(a- bx) a-bx
1/2
1/2
y = 2a-2bx+bx2(a- bx) a-bx
1/2
1/2
y = 2a-bx2(a- bx) a-bx
3/2
3/2
y = 2a-bx a-bx
1/2
1/2
51) y = 1+2x31+3x
1/3
1/3
1/2
1/2
1/2
1/2
1/3
1/3
1/3
1/3
y = (1+2x)(1+3x)
-2/3
-2/3
1/2
1/2
1/2
1/2
1/3
1/3
1/3
1/3
y = 1+3x ddx ( 1 + 2x) - (1 + 2x) ddx( 1 + 3x)[1+3x ]²
1/2
1/2
1/3
1/32/3
2/3
y = 1+3x 12 1 + 2x 2 - 1 + 2x 13 1 + 3x . (3)1+3x
2/3
2/3
1/2
1/2
2/3
2/3
y = (1+3x)(1+2x)- (1+2x)(1+3x)1+3x
2/3
2/3
2/3
2/3
1/2
1/2
y = 1+3x-(1+2x)1+2x (1+3x)1+3x
2/3
2/3
2/3
2/3
1/2
1/2
y = 1+3x-1-2x1+2x (1+3x)1+3x
1/2
1/2
2/3
2/3
2/3
2/3
y = x1+2x (1+3x)1+3x
4/3
4/3
1/2
1/2
y = x1+2x(1+3x)

1/2
1/2
58) y = x8-x²
1/2
1/2
1/2
1/2
y = x (8 - x²)
1/2
1/2
1/2
1/2
y = x . ddx 8-x² +8-x² . ddxx
1/2
1/2
y = x . 12 8-x² (2x)+8-x²
1/2
1/2
y = - x²(8-x² ) +(8-x² )
1/2
1/2
y = - x2+(8-x²)(8-x² )
1/2
1/2
y = - x2+8-x²)(8-x² )
1/2
1/2
y = 8-2x²)(8-x² )
1/2
1/2
y = 8-2(2)²)(8-(2)² ) X=2
1/2
1/2
y = 8-8(8-4 )
1/2
1/2
y =0(4 ) = 02 = 0//

1/2
1/2
65) y = x²-510-x2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
y = (x²-5 )(10-x² )
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
y = 10-x2 ddx x²-5 -X2-5 ddx (10-x²)[10-x2 ]²
1/2
1/2
1/2
1/2
y = 10-x2 12 x²-5 2x-X2-5 . 12 10-x2 (-2x)10-x
1/2
1/2
1/2
1/2
y = x(10-x2)(x² -5)+ x(x² -5)(10-x²)(10-x)
1/2
1/21/2
1/2
y = x10-x2+ (x² -5)x(x² -5)(10-x²)(10-x)
1/2
1/2
1/2
1/2
y = = 10x-x³ + x³ -5x²-5 10-x10-x
1/2
1/2
1/2
1/2
y = = -5xx²-5 10-x10-x
1/2
1/2
1/2
1/2
y = 5xx²-5 (10-x²)
3/2
3/2
1/2
1/2
y = 5xx²-5 (10-x²) X=3
3/2
3/2
1/2
1/2
y = 5(3)[32-5 (10-(3)²)
3/2
3/2
1/2
1/2
y = 15[9-5 (10-9)
3/2
3/2
½
½
y = 154 (1)
y = 152(1) = 152...