Consider the function defined for all real

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

Problem

Consider the function

h(x)=x e^{-x}

defined for all real

x

. Which ordered pair gives the

x

- and

y

-coordinates of the relative maximum of

h

? (a)

(1,-e^{-1})

(b)

(0,0)

(c)

(1,e^{-1})

(d)

(-1,-e)