y=2sin(3x+1)+e^2y'= [2sin(3x+1)]' + [e^2]' = 2cos(3x+1)*(3x+1)' + 0 = 2cos(3x+1)*3 = 6cos(3x+1)y=ln[x/1+x^2] = lnx - ln(1+x^2)y'= [ lnx - ln(1+x^2)]' = [lnx]' - [ln(1+x^2)]' = 1/x - (1+x^2)'/(1+x^2) = 1/x - 2x/(1+x^2)