### Home > APCALC > Chapter 11 > Lesson 11.1.1 > Problem11-14

11-14.

Multiple Choice: If $a > 0$, $f(x) = x + ax^{–2}$ will have a relative minimum at: Homework Help ✎

1. $x =\sqrt { 2 a }$

1. $x =\sqrt [ 3 ] { 2 a }$

1. $x = a$

1. $x =\sqrt { 2 }$

1. $x = ± 2a$

$f^\prime(x)=1-2ax^{-3}=0$

$1=2ax^{-3}$

$x^3=2a$