3. For what value of k will x+k/x have a relative maximum at x = -2?

A. -4 B. -2 C. 2 D. 4 E. None of these

2 answers

y = x + k/x
y' = 1 - k/x^2

1 - k/x^2 = 0
1 - k/4 = 0
k = 4

(D)
You already answered the question, estupid