Let f be the function defined by f(x)=xe^(1-x) for all real numbers x.:

a. Find each interval on which f is increasing.
b. Find the x-coordinate of each point of inflection of the graph of f

1 answer

f' = (1-x)*e^(1-x)
f'' = (x-2)e^(1-x)

f'=0 when x=1
f''=0 when x=2

That should get you started.
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