Question

\[g(x) = (1/\sqrt(2\pi) ) e^{-(x-3)^{2}/2}\]
find extrema and points of inflection

Answer 1

Mostly looking to check my answer (got something weird)

Answer 2

\[g(x) = (1/\sqrt(2\pi) ) e^{-(x-3)^{2}/2}\]

Answer 3

incase anyone needs the answers:
To find extrema find where the first derivative of g(x) is equal to 0.
To find the inflections find where the 2nd derivative of g(x) is equal to 0

Max @ (3, \[1/\sqrt(2\pi)\] )
Inflections @ (2\[1/\sqrt(2\pi e)\] ) and (4, \[1/\sqrt(2\pi e )\] )