Math Help - derivative question

1. derivative question

$f(t) = \frac{pqe^t}{(1-qe^t)^2}$

$\frac{d}{dt}f(t) = \frac{(pqte^t)(1-qe^t)^2 -2(1-qe^t)(-tqe^t)(pqe^t)}{(1-qe^t)^4}$ $= \frac{[(pqte^t)(1-qe^t)][(1-qe^t)+2(pqe^t)]}{(1-qe^t)^4}$

is this right?

2. No

$pqe^t$ the derivative is $pqe^t$
remember $\frac{d}{dx}e^t=e^t$ not $te^t$