If dxdt=2\displaystyle\frac{dx}{dt} = 2dtdx=2 and dydt=et\displaystyle\frac{dy}{dt} = e^tdtdy=et, then d2ydx2=\displaystyle\frac{d^2y}{dx^2} =dx2d2y=
ete^tet
et2\displaystyle\frac{e^t}{2}2et
2et3\displaystyle\frac{2e^t}{3}32et
et4\displaystyle\frac{e^t}{4}4et
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