Differentiate (x2 – 1/x)2 with respect to x

Differentiate (x² – ¹/_x)² with respect to x

Correct Answer: Option C

Explanation

y = (x² – ¹/_x)²
y = (x² – ¹/_x)(x² – ¹/_x)
y = x⁴ – x – x + ¹/_x²
y = x⁴ – 2x + ¹/_x²
y= x⁴ – 2x + x^-2
dy/dx = 4x² – 2 – 2x^-3
= 4x² – 2 – ²/_x³