x^2sin(5/x)

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Solution for x^2sin(5/x) equation: 


D( x )

x = 0

x = 0

x = 0

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

x^2*sin(5/x) = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

sin(5/x) = 0

sin(5/x) = 0  <=>  5/x = pi*k_1 i k_1 naleu017Cy do I

t_1 = pi*k_1

5/x-t_1 = 0

5*x^-1 = t_1 // : 5

x^-1 = t_1/5

-1 < 0

1/(x^1) = t_1/5 // * x^1

1 = (t_1/5)*x^1 // : t_1/5

5*t_1^-1 = x^1

x = 5*t_1^-1

x = 5*pi*k_1^-1 i k_1 naleu017Cy do I

x^2*sin(5/x) = 0  <=>  x^2 = 0 or x^2*sin(5/x) = 0  <=>  sin(5/x) = 0

x in { 0} 

x = 5*pi*k_1^-1

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