Differentiate (x

^{2}–^{1}/_{x})^{2}with respect to x-
**A.**

4x^{2}– 4x –^{2}/_{x} -
**B.**

4x^{2}– 2 +^{2}/_{x3} -
**C.**

4x^{2}– 2 –^{2}/_{x3} -
**D.**

4x^{2}– 3x +^{2}/_{x}

##### Correct Answer: Option C

##### Explanation

y = (x^{2} – ^{1}/_{x})^{2}

y = (x^{2} – ^{1}/_{x})(x^{2} – ^{1}/_{x})

y = x^{4} – x – x + ^{1}/_{x2}

y = x^{4} – 2x + ^{1}/_{x2}

y= x^{4} – 2x + x^{-2}

dy/dx = 4x^{2} – 2 – 2x^{-3}

= 4x^{2} – 2 – ^{2}/_{x3}