y=(x√x+3)e^x
=(x^(3/2)+3)*e^x
y'=(3/2)x^(1/2)e^x+(x^(3/2)+3)e^x
y=x^(x^2)+e^x^2+x^(e^x)+e^(e^x)
y1=x^(x^2)lny1=x^2lnx y1'/y1=2xlnx+xy1'=(2xlnx+x)*x^(x^2)
y2=e^(x^2)lny2=x^2 y2'/y2=2xy2'=2xe^(x^2)
y3=x^(e^x)lny3=e^xlnx y3'/y3=e^xlnx+e^x/xy3'=(e^xlnx+e^x/x)*x^(e^x)
y4=e^(e^x) lny4=e^xy4'/y4=e^x y4'=e^x*e^(e^x)
y'= (2xlnx+x)*x^(x^2) + 2xe^(x^2) + (e^xlnx+e^x/x)*x^(e^x) +e^x*(e^(e^x))