Determine the local extrema of the function on the interval

MATHEMATICS · Subjective · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

Determine the local extrema of the function

f(x)=x\,e^{-x}

on the interval

(0,\infty)

. Give the

x

–coordinate and the corresponding function value for each extremum, and state whether it is a maximum or a minimum.