Let . Which of the following gives the coordinates of the local maximum point of…

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

Problem

Let

h(x)=e^{x}(x^{2}-4x)

. Which of the following gives the coordinates of the local maximum point of

h

? (a)

(1+\sqrt5,\;2(1+\sqrt5)\,e^{1+\sqrt5})

(b)

(2,\;-4e^{2})

(c)

(1-\sqrt5,\;2(1+\sqrt5)\,e^{1-\sqrt5})

(d)

(1-\sqrt5,\;2(1-\sqrt5)\,e^{1-\sqrt5})