derivative (1+\left(\frac{1}{1-\left(1-x\right)^{2x}}-1\right)2^{-\left(-\frac{\left(2+4\ln\left(0.5\right)\right)}{2}+1\right)}x^{-\left(-\frac{\left(2+4\ln\left(0.5\right)\right)}{2}+1\right)})*x^(4(1-x)^2)