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Ejercicio Ecuacion de la Recta2

Module by: DIEGO DIAZ LEON. E-mail the author

Summary: Ejercicio Ecuacion de la Recta

ECUACION DE LA RECTA2

1. Encuentre la ecuacion de la recta y la pendiente.

f ( x ) = 1 x + 4 intervalos ( 0 , 1 2 ) f ( x ) = 1 x + 4 intervalos ( 0 , 1 2 )
(1)
f ( x ) = 1 ( x + 4 ) 1 2 f ( x ) = 1 ( x + 4 ) 1 2
(2)
f ' ( x ) = ( x + 4 ) - 1 2 ⇒ f ' ( x ) = - 1 2 ( x + 4 ) - 3 2 f ' ( x ) = ( x + 4 ) - 1 2 ⇒ f ' ( x ) = - 1 2 ( x + 4 ) - 3 2
(3)
m = - 1 2 ( 4 ) - 3 2 ⇒ - 1 2 4 3 ⇒ - 1 2 64 ⇒ - 1 2 ( 8 ) ⇒ - 1 16 m = - 1 2 ( 4 ) - 3 2 ⇒ - 1 2 4 3 ⇒ - 1 2 64 ⇒ - 1 2 ( 8 ) ⇒ - 1 16
(4)
( y - y o ) = m ( x - x o ) ( y - y o ) = m ( x - x o )
(5)
y - 1 2 = - 1 16 ( x - 0 ) y - 1 2 = - 1 16 ( x - 0 )
(6)
y - 1 2 = - 1 16 x y - 1 2 = - 1 16 x
(7)
y = - 1 16 x + 1 2 y = - 1 16 x + 1 2
(8)

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