# Find derivatives of the functions defined as follows. y=(te^t=2)/(e^(2t)+1)

Question
Derivatives
Find derivatives of the functions defined as follows. $$y=(te^t=2)/(e^(2t)+1)$$

2021-03-08
$$dy/dt=((e^(2t)+1)(te^t+e^t)-(te^t+2)(2e^(2t)))/((e^(2t)+1)^2)$$
$$=((1-t)e^(3t)-4e^(2t)+(1+t)e^t)/((e^(2t)+1)^2)$$

### Relevant Questions

Find derivatives of the functions defined as follows. $$y=(t^2 e^(2t))/(t+e^(3t))$$
Find derivatives of the functions defined as follows. $$f(x)=e^(x sqrt(3x+2))$$
Find derivatives of the functions defined as follows. $$\displaystyle f{{\left({x}\right)}}={e}^{{\frac{{x}^{2}}{{{x}^{3}+{2}}}}}$$
Find derivatives of the functions defined as follows. $$s=2*3^(sqrt t)$$
Find derivatives of the functions defined as follows. $$s=5*2^(sqrt(t-2))$$
Find derivatives of the functions defined as follows. $$y=3*4^(x^2+2)$$
Find derivatives of the functions defined as follows. $$y= -10^(3x^2-4)\( asked 2020-11-11 Calculating derivatives Find the derivative of the following functions. \(\displaystyle{y}={{\cos}^{{2}}{x}}$$
$$\displaystyle{s}{\left({y},{z}\right)}={z}^{{2}}{\tan{{y}}}{z}$$