((8x^3-4x)/(e^x^2))=0

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Solution for ((8x^3-4x)/(e^x^2))=0 equation: 


D( x )

e^(x^2) = 0

e^(x^2) = 0

e^(x^2) = 0

x należy do O

x in (-oo:+oo)

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

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

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

8*x^3-(4*x) = 0

8*x^3-4*x = 0

8*x^3-4*x = 0

4*x*(2*x^2-1) = 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)

4*x = 0

4*x = 0 // : 4

x = 0

x in { (1/2)^(1/2), -(1/2)^(1/2), 0 }

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