If the y-coordinate at each point of inflection on the curve y=e^(-x^2) is 1/e^a, then a = ?

Answer 1

y = e^-x^2
y" = (4x^2-2)e^-x^2
y"=0 when x = ±√2

y(±√2) = e^-2 = 1/e^2 = 1/e^a

Looks like a=2

Answer 2

Steve is wrong. The second derivative isn't what Steve said was