tan(2x^(1/2))

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


D( x )

x < 0

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

x < 0

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

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

cos(2*x^(1/2)) = 0  <=>  2*x^(1/2) = pi*k_1+pi/2 i k_1 należy do I

t_1 = pi*k_1+pi/2

2*x^(1/2)-t_1 = 0

2*x^(1/2) = t_1 // : 2

x^(1/2) = t_1/2

x^(1/2) = t_1/2 // ^ 2

x = (t_1^2)/4

x = (pi*k_1+pi/2^2)/4 i k_1 należy do I

x in {( -oo : +oo ) / {( -oo : 0 ) U < (pi*k_1+pi/2^2)/4 : (pi*k_1+pi/2^2)/4 >}} i k_1 -> {I}

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

tan(2*x^(1/2)) = 0  <=>  2*x^(1/2) = pi*k_1 i k_1 należy do I

t_1 = pi*k_1

2*x^(1/2)-t_1 = 0

2*x^(1/2) = t_1 // : 2

x^(1/2) = t_1/2

x^(1/2) = t_1/2 // ^ 2

x = (t_1^2)/4

x = (pi*k_1^2)/4 i k_1 należy do I

x = (pi*k_1^2)/4

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