# 6. For € (-1, +00) consider the function f(x) = x'e- (a) (6 points) Find (if...

###### Question:

6. For € (-1, +00) consider the function f(x) = x'e- (a) (6 points) Find (if any; note that limz++oc f(x) = 0): • local maxima: • localminima: • global maximum: • global minimum: (b) EXTRA CREDIT (1 point): define what is an INFLECTION POINT (and, if you wish, draw a picture illustrating it); (c) (4 points) find the inflection points of f() (if any); (d) EXTRA CREDIT (4 points): sketch the graph of f (recall that limz++00 f(x) = 0).

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