x*sin(9/x)

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Solution for x*sin(9/x) equation: 


D( x )

x = 0

x = 0

x = 0

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

x*sin(9/x) = 0

x = 0

sin(9/x) = 0

sin(9/x) = 0  <=>  9/x = pi*k_1 i k_1 należy do I

t_1 = pi*k_1

9/x-t_1 = 0

9*x^-1 = t_1 // : 9

x^-1 = t_1/9

-1 < 0

1/(x^1) = t_1/9 // * x^1

1 = (t_1/9)*x^1 // : t_1/9

9*t_1^-1 = x^1

x = 9*t_1^-1

x = 9*pi*k_1^-1 i k_1 należy do I

x*sin(9/x) = 0  <=>  x = 0 or x*sin(9/x) = 0  <=>  sin(9/x) = 0

x in { 0} 

x = 9*pi*k_1^-1

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