Consider the following function.
f(x) = (6 − x)e^−x
(c) Find the point of inflection. (If an answer does not exist, enter DNE.)
(x,y)=( , )
f = (6-x)e^-x
f' = (x-7)e^-x
f" = (8-x)e^-x
f"=0 at x=8
f(8) = -2e^-8 so (x,y) = (8,-0.00067)
See
http://www.wolframalpha.com/input/?i=(6-x)e%5E-x+for+6+%3C%3D+x+%3C%3D+11