(6w^7-7w^5)/(5w^5)

Solution for (6w^7-7w^5)/(5w^5) equation:

D( w )

5*w^5 = 0

5*w^5 = 0

5*w^5 = 0

5*w^5 = 0 // : 5

w^5 = 0

w = 0

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

(6*w^7-(7*w^5))/(5*w^5) = 0

(6*w^7-7*w^5)/(5*w^5) = 0

6*w^7-7*w^5 = 0

w^5*(6*w^2-7) = 0

6*w^2 = 7 // : 6

w^2 = 7/6

w^2 = 7/6 // ^ 1/2

abs(w) = (7/6)^(1/2)

w = (7/6)^(1/2) or w = -(7/6)^(1/2)

w^5*(w-(7/6)^(1/2))*(w+(7/6)^(1/2)) = 0

(w^5*(w-(7/6)^(1/2))*(w+(7/6)^(1/2)))/(5*w^5) = 0

( w+(7/6)^(1/2) )

w+(7/6)^(1/2) = 0 // - (7/6)^(1/2)

w = -(7/6)^(1/2)

( w-(7/6)^(1/2) )

w-(7/6)^(1/2) = 0 // + (7/6)^(1/2)

w = (7/6)^(1/2)

( w^5 )

1*w^5 = 0 // : 1

w^5 = 0

w = 0

w in { 0} 

w in { -(7/6)^(1/2), (7/6)^(1/2) }