6/x_11

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Solution for 6/x_11 equation:


D( x_1 )

x_1 = 0

x_1 = 0

x_1 = 0

x_1 in (-oo:0) U (0:+oo)

6/x_1 < 1 // - 1

6/x_1-1 < 0

6*x_1^-1 < 1

6*x_1^-1 < 1 // : 6

x_1^-1 < 1/6

1/(x_1^1) < 1/6

x_1 <> 0

1/(x_1^1) < 1/6 // * x_1^2

(x_1^2)/(x_1^1) < 1/6*x_1^2

x_1^1 < 1/6*x_1^2

x_1-1/6*x_1^2 < 0

x_1^1*(1-1/6*x_1) < 0

x_1 < 0

-(abs(x_1))^1*(1/6*(abs(x_1))^1+1) < 0 // : -(abs(x_1))^1

1/6*(abs(x_1))^1+1 > 0

1/6*(abs(x_1))^1 > -1 // : 1/6

(abs(x_1))^1 > -1/1/6

(abs(x_1))^1 > -6 // ^ 1/1

abs(x_1) > (-6)^(1/1)

abs(x_1) > -6

x_1 in (-oo:0)

x_1 < 0

x_1 > 0

x_1^1*(1-(1/6*x_1^1)) < 0 // : x_1^1

1-(1/6*x_1^1) < 0

1 < 1/6*x_1^1 // : 1/6

1/1/6 < x_1^1 // ^ 1/1

(1/1/6)^(1/1) < x_1

x_1 in (6:+oo)

x_1 > 0

x_1 in (-oo:0) U (6:+oo)

x_1 in (-oo:0) U (6:+oo)

(-oo:0) U (6:+oo)

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