Question

find the second derivative
f(x) = e^(-x^2/2) find the second derivative
f(x) = e^(-x^2/2) @Mathematics

Answer 1

\[f'(x)=(\frac{-x^2}{2})'e^{\frac{-x^2}{2}}\]

Answer 2

\[e^{-x ^{2}/2}\]

Answer 3

second derivative?

Answer 4

find the derivative of the first derivative

Answer 5

\[f''(x)=(\frac{-x^2}{2})''e^{\frac{-x^2}{2}}+(\frac{-x^2}{2})'(\frac{-x^2}{2})'e^{\frac{-x^2}{2}}\]

Answer 6

alright now I have to set that equal to zero and solve for x

Answer 7

why?
you are trying to find second derivative
are you looking for inflection points?

Answer 8

Second derivative e^(-x^2/2) *(x^2 - 1)

Answer 9

the interval on which the graph is concave up and concave down and inflection points

Answer 10

try this http://www.wolframalpha.com/widgets/view.jsp?id=c44e503833b64e9f27197a484f4257c0