## Quantum Calculus

Compute the $q$-derivative and the $h$-derivative of $f(x) = x^n$.

So $D_{q}x^n = \frac{(qx)^n-x^n}{(q-1)x} = \frac{q^n-1}{q-1}x^{n-1}$. Also $D_{h}x^n = \frac{(x+h)^n-x^n}{h}$.

Is this correct?