2 Mate U5

By maryeleclaudio77 | Updated: Oct. 5, 2024, 8:33 a.m.

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f(x)=
___________
x-1
x²-3x+3
Puntos Críticos
x=0

x=2
x=1
(-∞,0)
(0 , 1)
( 1 , 2 )
(2,+∞)
f(x)=
___________
x-1
x²-3x+3
Puntos Críticos
x=0

x=2
x=1
(-∞,0)
(0 , 1)
( 1 , 2 )
(2,+∞)
-1
1/2
3/2
3
f'(-1)=___________

(-1)²-2(-1)
((-1)-1)²
f'(-1)=____

3
4
f'(1/2)=___________

(1/2)²-2(1/2)
((1/2)-1)²
f'(1/2)=

-3
f'(-1)=___________

(3)²-2(3)
((3)-1)²
f'(-1)=

3/4
f'(3/2)=____________

(3/2)²-2(3/2)
((3/2)-1)²
f'(3/2)=

-3
Positivo        (+)         Crece
Negativo        (-)         Decrece
f(x)=
___________
x-1
x²-3x+3
Puntos Críticos
x=0

x=2
x=1
(-∞,0)
-1
f'(-1)=___________

(-1)²-2(-1)
((-1)-1)²
f'(-1)= 3/4

Crece
f(x)=
___________
x-1
x²-3x+3
Puntos Críticos
x=0

x=2
x=1
(-∞,0)
(0 , 1)
-1
1/2
f'(-1)=___________

(-1)²-2(-1)
((-1)-1)²
f'(1/2)=___________

(1/2)²-2(1/2)
((1/2)-1)²
f'(1/2)=

-3
Crece
Decrece
f'(-1)= 3/4

f(x)=
___________
x-1
x²-3x+3
Puntos Críticos
x=0

x=2
x=1
(-∞,0)
(0 , 1)
( 1 , 2 )
-1
1/2
3/2
f'(-1)=___________

(-1)²-2(-1)
((-1)-1)²
f'(1/2)=___________

(1/2)²-2(1/2)
((1/2)-1)²
f'(1/2)=

-3
f'(3/2)=____________

(3/2)²-2(3/2)
((3/2)-1)²
f'(3/2)=

-3
Crece
Decrece
Decrece
f'(-1)= 3/4

f(x)=
___________
x-1
x²-3x+3
Puntos Críticos
x=0

x=2
x=1
(-∞,0)
(0 , 1)
( 1 , 2 )
(2,+∞)
-1
1/2
3/2
3
f'(-1)=___________

(-1)²-2(-1)
((-1)-1)²
f'(1/2)=___________

(1/2)²-2(1/2)
((1/2)-1)²
f'(1/2)=

-3
f'(-1)=___________

(3)²-2(3)
((3)-1)²
f'(-1)=

3/4
f'(3/2)=____________

(3/2)²-2(3/2)
((3/2)-1)²
f'(3/2)=

-3
Crece
Decrece
Decrece
Crece
f'(-1)= 3/4

f(x)=
___________
x-1
x²-3x+3
Puntos Críticos
x=0

x=2
x=1
(-∞,0)
(0 , 1)
( 1 , 2 )
(2,+∞)
-1
1/2
3/2
3
f'(-1)=___________

(-1)²-2(-1)
((-1)-1)²
f'(1/2)=___________

(1/2)²-2(1/2)
((1/2)-1)²
f'(1/2)=

-3
f'(-1)=___________

(3)²-2(3)
((3)-1)²
f'(-1)=

3/4
f'(3/2)=____________

(3/2)²-2(3/2)
((3/2)-1)²
f'(3/2)=

-3
Crece
Decrece
Decrece
Crece
f'(-1)= 3/4

f(x)=
___________
x-1
x²-3x+3
Puntos Críticos
x=0

x=2
x=1
f(0)=___________

(0)²-3(0)+3
(0)-1
f(2)=___________

(2)²-3(2)+3
(2)-1
= -3
= 1
x=0
x=2
f(x)=
___________
x-1
x²-3x+3
Puntos Críticos
x=0

x=2
x=1
f(0)= -3

f(2)= 1

Asíntota
f(x)=
___________
x-1
x²-3x+3
Puntos Críticos
x=0

x=2
x=1
f(0)= -3

f(2)= 1

Asíntota
f(x)=
___________
x-1
x²-3x+3
Puntos Críticos
x=0

x=2
x=1
f(0)= -3

f(2)= 1

Asíntota
f(x)=
___________
x-1
x²-3x+3
Puntos Críticos
x=0

x=2
x=1
f(0)= -3

f(2)= 1

Asíntota