# Find dy/dx and d^{2}y/dx^{2}. x = e^{t}, y = te^{-t}. For which values of t is the curve concave upward?

Find $$\displaystyle\frac{{\left.{d}{y}\right.}}{{\left.{d}{x}\right.}}$$ and $$\displaystyle\frac{{{d}^{{{2}}}y}}{{\left.{d}{x}\right.}^{{{2}}}}$$.
$$\displaystyle{x}={e}^{{{t}}},{y}={t}{e}^{{−{t}}}$$
For which values of t is the curve concave upward?

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Lacey-May Snyder

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