y=2x/e^2x

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Solution for y=2x/e^2x equation: 


D( x )

e^2 = 0

e^2 = 0

e^2 = 0

e^2 = 0

x belongs to the empty set

x in (-oo:+oo)

y = ((2*x)/(e^2))*x // - ((2*x)/(e^2))*x

y-(((2*x)/(e^2))*x) = 0

y-2*e^-2*x^2 = 0

-2*e^-2*x^2 = -y // : -2*e^-2

x^2 = (1/2)*e^2*y

x^2 = 1/2*e^2*y // ^ 1/2

abs(x) = (1/2)^(1/2)*e*y^(1/2)

x = (1/2)^(1/2)*e*y^(1/2) or x = -((1/2)^(1/2)*e*y^(1/2))

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

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