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

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