x^2sin(1/x)

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Solution for x^2sin(1/x) equation:


D( x )

x = 0

x = 0

x = 0

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

x^2*sin(1/x) = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

sin(1/x) = 0

sin(1/x) = 0 <=> 1/x = pi*k_1 i k_1 należy do I

t_1 = pi*k_1

1/x-t_1 = 0

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

x^-1 = t_1

-1 < 0

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

1 = t_1*x^1 // : t_1

1/t_1 = x^1

x = 1/t_1

x = 1/pi*k_1 i k_1 należy do I

x^2*sin(1/x) = 0 <=> x^2 = 0 or x^2*sin(1/x) = 0 <=> sin(1/x) = 0

x in { 0}

x = 1/pi*k_1

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