Find the derivative of (3x^{2} + frac{1}{x^{2}})
-
A.
(6x + 2x^{2}) -
B.
(6x + frac{1}{2x}) -
C.
(6x – frac{2}{x^{3}}) -
D.
(6x – frac{1}{2x})
Correct Answer: Option C
Explanation
(y = 3x^{2} + frac{1}{x^{2}} equiv y = 3x^{2} + x^{-2})
(frac{mathrm d y}{mathrm d x} = 6x – 2x^{-3})
= (6x – frac{2}{x^{3}})