Earlier quoted context omitted.
A derivative is a security with price that depends on the value of the underlying asset. Bitcoins are derivatives for the blocks in the blockchain. You find a new block and you have a coins. Bitcoin value depends on the value of the underlying, the blockchain network.
Bitcoins are asset, plain and simple. Fiat currencies are derivatives, gold is not. There are derivative instruments on top of gold that let you make money on its market trends, but saying gold is derivative is totally meaningless. The bitcoin protocol gives bitcoin asset value. Now the speculative price market is a derivative, but that's not bitcoin, that's an instrument for people to make money on top of bitcoin.
* sigh *
You can't math something into having value.
Bitcoin is structurally deflationary fiat, but it's still fiat. It's not scarce if no one wants it.
Why would people want it? Possibly because mathematical limits suggest it's going to be a store of value -- people want gold because of a kind of civilization-scale madness. But Gresham's law might just kick in, everyone hoards bitcoin to the max and then it has no value because it has no liquidity.
Thus the value of bitcoin is either zero or infinity.