\(dy/dt=((e^{2t}+1)(te^{t}+e^{t})-(te^{t}+2)(2e^{2t}))/((e^{2t}+1)^2{})\)
\(=((1-t)e^{3t}-4e^{2t}+(1+t)e^{t})/((e^{2t}+1)^{2})\)
Find derivatives of the functions defined as follows.y=(te^t=2)/(e^(2t)+1)
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