Question

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

Answer 1

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.