How do indigenous peoples preserve their traditional culture while adapting to modern life?

There isn't one answer to this question: there are many indigenous people, and each of the different groups adapts differently.

But some examples are:
-using technology to transfer and preserve their culture, for example recently an indigenous-themed video game "Never Alone" was released.
-they used modern structures to learn and teach their languages (bilingual teaching in schools)
-they use the possibility to print books and magazines in their languages.
-they adapt their art to modern art, making objects that can be used today, but which draw inspiration from their culture.

Mining manufacturing

Friedrich wilhelm nietzsche was a german philosopher and philologist and were an important influence on the nine inch nails as well as the existentialism movement. he challenged the christianity as well as the traditional morality thus was being charge with atheism, relativism as well as nihilism.