For the function defined for

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

Problem

For the function

h(x)=\dfrac{e^{x}}{x}

defined for

x>0

, which of the following

x

-values corresponds to a point where the tangent line is horizontal and the graph is concave up? (a)

\dfrac12

(b)

\sqrt{2}

(c)

1

(d)

2