Consider the function defined for

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

Problem

Consider the function f(x)=xe−xf(x)=x e^{-x} defined for x>0x>0. For which of the following intervals is ff both increasing and concave down? (a) (1,2)(1,2) (b) (0,1)(0,1) (c) (0,2)(0,2) (d) (2,∞)(2,\infty)

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