Mathematics

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

Differentiate (x21/x)2 with respect to x
  • A.
    4x2 – 4x – 2/x
  • B.
    4x2 – 2 + 2/x3
  • C.
    4x2 – 2 – 2/x3
  • D.
    4x2 – 3x + 2/x
Correct Answer: Option C
Explanation

y = (x21/x)2
y = (x21/x)(x21/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