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For f(x) xe-x ( a) Find the local extrema by hand using the first derivative and...

For f(x) xe-x

( a) Find the local extrema by hand using the first derivative and a sign chart. b) Find the open intervals where the function is increasing and where it is decreasing. c) Find the intervals of concavity and inflection points by hand. d) Sketch a reasonable graph showing all this behavior . Indicate the coordinates of the local extrema and inflections.

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