What is the critical value gx 4 2x 3x2 Please show work C

What is the critical value? g(x) = 4 - 2/(x) + 3/(x^2) Please show work. Choices are: 0, 2, -2, 4

Is the critical value a relative max, relative min, or neither?

Critical value is given by

when g\'(x) = 0

g(x) = 4 - 2/x + 3/x^2

g\'(x) = 0 + 2/x^2 - 6/x^3

2/x^2 - 6/x^3 = 0

2/x^2 = 6/x^3

x = 3 Should be critical value, But in your given choices, there isn\'t 3.

since at x = 3, f\'(x) changes sign from -ve to +ve so it\'s minimum.

Also x = 0 cannot be a critical point, because at x = 0, g(x) is not defined.

Recheck your equation and let me know in the comments.