d(arcsin(exp(-x^0.5)))/dx= d(arcsin(exp(-x^0.5)))/d(exp(-x^0.5)) * d(exp(-x^0.5))/d(-x^0.5) * d(-x^0.5)/dx= 1/(1-exp(-2x^0.5))^0.5 * exp(-x^0.5) * (-x^(-0.5)/2)= -x^(-0.5)exp(-x^0.5)/2(1-exp(-2x^0.5))...