To discourage large parameter values

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

Problem

To discourage large parameter values, the error function

E(k)=(3-k)^2+(5-k)^2+(7-k)^2+6k^2

is minimized with respect to

k

. What value of

k

yields the minimum of

E

? (a)

\dfrac{5}{2}

(b)

\dfrac{5}{3}

(c)

\dfrac{10}{3}

(d)

5