Question 11
DifferentiationDifferentiate (x2 − 1/x)2 with respect to x.
- A.4x3 − 4x − 2/x
- B.4x3 − 2 + 2/x3
- C.4x3 − 2 − 2/x3
- D.4x3 − 3x + 2/x
Show the answer and explanation
Answer: C (4x3 − 2 − 2/x3)
Explanation
dy/dx = 2(x2 − 1/x)(2x + 1/x2) = 2(2x3 + 1 − 2 − 1/x3) = 4x3 − 2 − 2/x3.