Question

Find dy/dx
x=te^t
y=t+sint

Answer 1

dy/dx = (dy/dt)/(dx/dt)
= (1+cost) / (e^t)(t+1)

Kind of a cool curve, with a little scaling added:

http://www.wolframalpha.com/input/?i=parametric+plot+x%3Dt%2F100+e^%28t%2F100%29%2C+y%3Dt%2F100%2Bsint