## anonymous 5 years ago Find the value of k for which the graph of (x^2+k/x)+x^2 has a point of inflection at x=-2.

1. anonymous

$\frac{x^2+k}{x}+x^2$

2. anonymous

first derivative $1 - \frac{k}{x^2} + 2 x$ second derivative $2 + \frac{2 k}{x^3}$ replace x by -2, set the result = 0, solve for k