АА
Аннет Алексеева
2x^(xy) = 2*exp(ln(x^xy)) = 2*exp(xy*lnx)
d/dx ( 2*exp(xy*lnx)) = 2*exp(xy*lnx)*(xy*lnx)' = 2yx^(xy)*(1*lnx +x*(1/x))= 2y*x^(xy)*(lnx+1)
d/dy ( 2*exp(xy*lnx)) = 2*exp(xy*lnx)*(xy*lnx)' = 2yx^(xy)*(xlnx) = 2yx^(xy)*x^x = 2x^(xy+1)*lnx
d (2*exp(xy*lnx) ) = 2y*x^(xy)*(lnx+1) * dx + 2x^(xy+1)*lnx * dy