3w^(-4/5)=1/2

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Solution for 3w^(-4/5)=1/2 equation: 


D( w )

w = 0

w = 0

w = 0

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

3*w^(-4/5) = 1/2 // - 1/2

3*w^(-4/5)-(1/2) = 0

3*w^(-4/5)-1/2 = 0

3*w^(-4/5) = 1/2 // : 3

w^(-4/5) = 1/6

-4/5 < 0

1/(w^(4/5)) = 1/6 // * w^(4/5)

1 = 1/6*w^(4/5) // : 1/6

6 = w^(4/5)

w^(4/5) = 6 // ^ 5

w^4 = 7776 // ^ 1/4

abs(w) = 6*6^(1/4)

w = 6*6^(1/4) or w = -(6*6^(1/4))

w in { 6*6^(1/4), -(6*6^(1/4)) }

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