What music is not derivative?

OOOPS!
Jposs, I think you didn't shoot well on Kraftwerk...
Everything in synth business probably starts from Jean Michell Gare the former leader of synth band Space.

As I said before that if you take a derivative of the higher than third order(please recall the school math for Christ sake) you might not distinguish a derivative from the original function!

Kraftwerk explcitly acknowledged the avante garde classical composer Varese as the father of electronic music.

A lot of good posts here, especially Ben Campbell's. May I submit Ornette Coleman and John Cage.

Let me begin from Classical music that in fact also has lots of directions and generations.
At the same time when the classical music existed there were Mazurkas Waltzes and Tangos popular for parties back than.
Than there were influence of a black rhythms and music that influenced to create blues, fox-trot and later-on swing.
Than the rock-n-roll took over blues, fox-trot and swing as a derivative of previousely stated.
Than The Beatles created pop that is derivative of everything stated above.

Derivative we can scientifically define as an operand that decreases a degree of a function but if the derivatives are taken on multiple-order the function could be still complicated and hard to understand from the first sight.

John and Yoko's first album. I can't think of one genre of music it could possibly be derived from. Then again, many thought it wasn't music at all!