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?