(12w^3x^4-3x)/(3u^5x^2)

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Solution for (12w^3x^4-3x)/(3u^5x^2) equation:


D( x )

3*u^5*x^2 = 0

3*u^5*x^2 = 0

3*u^5*x^2 = 0

3*u^5*x^2 = 0 // : 3*u^5

x^2 = 0

x = 0

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

(12*w^3*x^4-(3*x))/(3*u^5*x^2) = 0

(12*w^3*x^4-3*x)/(3*u^5*x^2) = 0

12*w^3*x^4-3*x = 0

3*x*(4*w^3*x^3-1) = 0

4*w^3*x^3 = 1 // : 4*w^3

x^3 = 1/(4*w^3)

x^3 = 1/(4*w^3) // ^ 1/3

x = 1/(4^(1/3)*w)

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

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

( 3*x )

3*x = 0 // : 3

x = 0

( x-4^(-1/3)*w^-1 )

x-4^(-1/3)*w^-1 = 0 // + -4^(-1/3)*w^-1

x = -(-4^(-1/3)*w^-1)

x in { 0}

x = -(-4^(-1/3)*w^-1)

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