(2x)/(9-x^2)0

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Solution for (2x)/(9-x^2)0 equation: 


D( x )

9-x^2 = 0

9-x^2 = 0

9-x^2 = 0

-1*x^2 = -9 // : -1

x^2 = 9

x^2 = 9 // ^ 1/2

abs(x) = 3

x = 3 or x = -3

x in (-oo:-3) U (-3:3) U (3:+oo)

(2*x)/(9-x^2) > 0

( 2*x )

2*x+0 > 0 // - 0

2*x > 0 // : 2

x > 0/2

x > 0

( 9-x^2 )

-1*x^2 > -9

-1*x^2 > -9 // * -1

1*x^2 < 9

1*x^2 < 9 // : 1

x^2 < 9/1

x^2 < 9

x^2 < 9 // ^ 1/2

abs(x) < 3

x in (-3:3)

	(-oo:-3)	(-3:0)	(0:3)	(3:+oo)
2*x	-	-	+	+
9-x^2	-	+	+	-


x in (-oo:-3) U (0:3)

(-oo:-3) U (0:3)

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