Let f be the function defined by f(x) = (x
2
+ 1)e
-x
for -4 < x < 4.
a. For what value of x does f reach its absolute maximum? Justify your answer.
b. Find the x-coordinates of all points of inflection of f. Justify your answer.
2
+ 1)e
-x
for -4 < x < 4.
a. For what value of x does f reach its absolute maximum? Justify your answer.
b. Find the x-coordinates of all points of inflection of f. Justify your answer.
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