For the function answer the following:

MATHEMATICS · Multi-part · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

For the function f(x)=e−x+xf(x)=e^{-x}+x answer the following: (i) Find the critical point(s). (ii) State whether the function has a unique local extremum and specify its type (maximum or minimum).

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