Ensayo de anime
1414 palabras
6 páginas
PRIMER BIMESTRECÁLCULO
PRUEBA DE ENSAYO
1. (F) El limx!2 9 = 2: limx!2 9 = 9
5
2. (F) El limx!0 x+x2 = indef inido:
5
limx!0 x+x2 = 1
5
limx!0+ x+x2 = +1
5
5 limx!0 x+x2 6= limx!0+ x+x2
=)
5 limx!0 x+x2 = indef inido
3. (F) = +1 limx! 1 x+2 = 1 x 4. (V) limx! 1 5x = 1 p 5. (V) limx!1 px + 10 = 1
6. (V) limx!1 3x = 1 p 7. (F) limx!1 x2 = 0 p limx!1 x2 = 1 d 8. (F) dx 3x5 = 3 + x4 d 5
= 15x4 dx 3x d 9. (V) dx (4x ) = 4x ln 4 d x x 2x ln 22 = 22x+1 ln 2 dx (4 ) = 4 ln 4 = 2 d4 10. (V) dx 7 = 0
PRUEBA DE ENSAYO
1. Encuentre los siguientes límites:
a. limx! 2 3x3 4x2 + 2x 3 = limx! 2 3x3 4x2 + 2x 3 = limx! 2 3x3 limx! 2 4x2 + limx! 2 (2x) limx!
3 limx! 2 x3
4 limx! 2 x2 + 2 limx! 2 (x) 3 =
3 …ver más…
f (x) = (x + 1) (x + 3)
4
3
4
d dx (3)
d f 0 (x) = dx ((x + 1) (x + 3)) d d f 0 (x) = (x + 1) dx (x + 3) + (x + 3) dx (x + 1) f 0 (x) = (x + 1) (1) + (x + 3) (1) f 0 (x) = x + 1 + x + 3 f 0 (x) = 2x + 4
dy dx =
d dx dy dx =
dy dx =3
dy dx =3
dy dx =3
dy dx =3
dy dx dy dx =3
d dx 3
2 x g. y = 3x
x
1
x2
2
x
3x
3 x 1
=
2 x d dx (3x)
x2
8x2 4x 5x3 +x4
2 x2 4x
5x3 2x2 4x4 +x5
3
x2
x
+
+3
1
x2
d
2
(x 2) dx ( x
3 x 1
2
) (x
3 x 1
d
) dx (x
2)
(x 2)2 d 2
(x 2)( dx ( x ) d (x 2)(2 dx (x
(x 2)
4
x2
2 x 2 x2 x2
d dx 1
2
( x 3 1 )) ( x
)
(x 2)2 d 3 dx (x 1) 1 )
(x 2)2
+ x2
2
(x
3
2x+1
(x 2)2
6
+ x2
2x+1
3 x 1
2
(x
3 x d
)( dx (x)
1
3x
+ x3 1
2x+1
3 x 1
)(1
d dx (2)
)
0)
)
2
x
(x 2)2
x+2 x2 +4x 2 x4 5x3 +8x2 4x x5 4x4 +5x3 2x2 + 3
5
1
2 +2
h. y = 3 12x3 + x2x+5 x2 y = 3 12x3 + x4 +7x23
+10
dy d x2 x = dx 3 12x3 + x4 +7x23 dx +10 = 2 7x2 +x4 +10
=
dy dx =
dy dx =0
dy dx dy dx dy dx =
d dx (3)
d dx 12x3 +
d dx x2 3 x4 +7x2