Consider the function

MATHEMATICS · Single correct · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

p(x)=(x+1)e^{-x}

. Which statement best describes the critical point at

x=0

? (a) It is a local minimum because

p''(0)>0

. (b) It is an inflection point because

p''(0)=0

. (c) It is a local maximum because

p''(0)<0

. (d) It is neither a maximum nor a minimum because

p'(0)\neq 0