e^-3/4ln(2x^2)

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Solution for e^-3/4ln(2x^2) equation: 


D( x )

2*x^2 <= 0

2*x^2 <= 0

2*x^2 <= 0

2*x^2 <= 0

2*x^2 <= 0 // : 2

x^2 <= 0/2

x^2 <= 0

x in <0:0>

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

((e^-3)/4)*ln(2*x^2) = 0

((e^-3)/4)*ln(2*x^2) = 0 // : (e^-3)/4

ln(2*x^2) = 0

ln(2*x^2) = ln(e^0)

2*x^2 = e^0

2*x^2-e^0 = 0

2*x^2 = 1 // : 2

x^2 = 1/2

x^2 = 1/2 // ^ 1/2

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

x = (1/2)^(1/2) or x = -(1/2)^(1/2)

x in { (1/2)^(1/2), -(1/2)^(1/2) }

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