I wish to ask a question. Please forgive me if it is does not make any sense:
@ vuur, @ Jack Schmidt
I was searching on google for "commutator subgroup of semidirect product". Fortunately I found a post commutator subgroup and semidirect product on math stack. There a formula for the commutator subgroup of solvable group $G=N \rtimes H$ in terms of $H$ and $N$. I have never seen such a formula and do not know how to prove it. Can some one help me in proving this formula?
p.s. I was trying commenting on this post but because of math stack policy I could not comment on this post as I require 50 reputation.