Mathematics

Mathematics

Problem

Consider the function p(x)=(x+1)e−xp(x)=(x+1)e^{-x}. Which statement best describes the critical point at x=0x=0? a) It is a local minimum because p′′(0)>0p''(0)>0. b) It is an inflection point because p′′(0)=0p''(0)=0. c) It is a local maximum because p′′(0)<0p''(0)<0. d) It is neither a maximum nor a minimum because p′(0)≠0p'(0)\neq 0.

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