The inflection point of graph of function y = xe-x is______ .

The inflection point of graph of function y = xe-x is______ .

By deriving the known curve, we can get: y ′ = e-x-xe-xy ″ = (X-2) E-X, let y ″ = 0 get: x = 2, when x ∈ (- ∞, 2), y ″ < 0, the curve is convex, when x ∈ (2, + ∞), y ″ > 0, the curve is concave, so: (2, 2e-2) is the inflection point of the curve