f^{(n)}(x)=(x^2-x)(\frac{1}{3})^{2x}(2\ln\frac{1}{3})^{n}+n(2x-1)(\frac{1}{3})^{2x}(2\ln\frac{1}{3})^{n-1}+\\ \qquad+n(n-1)(\frac{1}{3})^{2x}(2\ln\frac{1}{3})^{n-2}