Derain is best known for being a founder of Fauvism, along with Henri Matisse. He also was involved in the brief post- Great War return to classicalism by modernists, but beyond that point, he didn't involve himself with later movements such as Dada and Surrealism, and so far as I know never did abstract painting.
For some information regarding his career, go here.
Due the the lack of a strong Derain style, I cannot guarantee that all the paintings below are his or that they are correctly dated. I had to rely on captions for them found on the Web in a more naïve manner than I prefer.
Pichet, verseuse tripode ou La chocolatière - 1899-1900
A strongly painted still-life not far removed from some Hans Hofmann abstractions of 60 years later.
Le bal Suresnes - 1903
A fairly naturalistic scene with a few hints of Fauvist coloration.
Henri Matisse - 1905
Fauvist portrait of a fauvist.
Charing Cross Bridge - 1906
Fauvist cityscape. Parliament towers are the green stuff above the bridge.
Still Life - 1910
Assuming this is by Derain (no visible signature), this seems to be about as close to Cubism as he could manage.
The Last Supper - 1911
Hints of Cubist faceting here.
Alice Derain - 1921
A example of his postwar return to representational art, though there is a little modenrst-inspired simplification.
Harlequin et Pierrot - 1924
Probably Derain's best-known non-fauvist work. Distortion of some proportions and perspective.
Mme van Leer - 1929
Continuing towards 1930 with a few modernist whiffs.
The Painter and his Family - 1939
Flatness and simplification creep in here as well as in some other paintings from around this time.
Vue de Donnemarie-en-Montois - c.1942
But not in this landscape painted a few years later.
Self-Portrait - 1953
This is one of very few post- World War 2 Derain paintings I noticed on the Internet.