Consider on . Which description best characterizes the concavity of on the interval…

MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

Consider

p(x)=\dfrac{\ln x}{x}

(0,\infty)

. Which description best characterizes the concavity of

p

on the interval

(1,e)

? (a)

p

is concave up on the entire interval. (b)

p

changes concavity exactly once on the interval. (c)

p

is concave down on the entire interval. (d)

p

is concave down on

(1,\sqrt{e})

and concave up on

(\sqrt{e},e)