Question

"Use the second derivative test to to find the points of inflection of f(x)= e^(-x^2). The second derivative is (4x^2 - 2) e^(-x^2)."

Answer 1

set 2nd derivative equal to 0
4x^2 -2 = 0
4x^2 = 2
x^2 = 1/2
x = +-sqrt(2)/2

e^-x^2 = 0
-x^2 = ln(0)
x has no real solution