1/x-x0

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Solution for 1/x-x0 equation: 


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

1/x-x > 0

x^-1-x = 0

x^-1*(1-x^2) = 0

-1*x^2 = -1 // : -1

x^2 = 1

x^2 = 1 // ^ 1/2

abs(x) = 1

x = 1 or x = -1

1/x = 0

1*x^-1 = 0 // : 1

x^-1 = 0

x należy do O

(x-1)*(x+1) > 0

	(-oo:-1)	(-1:1)	(1:+oo)
x-1	-	-	+
x+1	-	+	+


x in (-oo:-1) U (1:+oo)

(-oo:-1) U (1:+oo)

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