Find the derivative of f(z)=z8−9z−1+2f(z) = z^8 - 9z^{-1} + \sqrt{2}f(z)=z8−9z−1+2.
8z7+9z−28z^7 + 9z^{-2}8z7+9z−2
8z9−9z−28z^9 - 9z^{-2}8z9−9z−2
7z7+9z−2+27z^7 + 9z^{-2} + \sqrt{2}7z7+9z−2+2
8z7−9z−28z^7 - 9z^{-2}8z7−9z−2