(x^1/4)(4x)^(1/4)=y

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Solution for (x^1/4)(4x)^(1/4)=y equation: 


D( x )

4*x < 0

4*x < 0

4*x < 0

4*x+0 < 0 // - 0

4*x < 0 // : 4

x < 0/4

x < 0

x in <0:+oo)

(4*x)^(1/4)*((x^1)/4) = y // - y

(4*x)^(1/4)*((x^1)/4)-y = 0

(4*x)^(1/4)*(x/4)-y = 0

1/4*4^(1/4)*x^(5/4) = y // : 1/4*4^(1/4)

x^(5/4) = 4*4^(-1/4)*y

x^(5/4) = 4*4^(-1/4)*y // ^ 4

x^5 = 64*y^4 // ^ 1/5

x = 2*2^(1/5)*y^(4/5)

x = 2*2^(1/5)*y^(4/5)

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