2sin(2x)/(2x)

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


D( x )

2*x = 0

2*x = 0

2*x = 0

2*x = 0 // : 2

x = 0

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

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

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

2*sin(2*x) = 0

sin(2*x) = 0

sin(2*x) = 0  <=>  2*x = pi*k_1 i k_1 należy do I

t_1 = pi*k_1

2*x-t_1 = 0

2*x-t_1 = 0 // + t_1

2*x = t_1 // : 2

x = t_1/2

x = pi*k_1/2 i k_1 należy do I

2*sin(2*x) = 0  <=>  2 = 0 or 2*sin(2*x) = 0  <=>  sin(2*x) = 0

x = pi*k_1/2

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