If \(y = x^2 - \frac{1}{x}\). find dy/dx
A
2x - (1/x2)
B
2x + x2
C
2x - x2
D
2x + (1/x2)
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
\(y = x^{2} - \frac{1}{x} = x^{2} - x^{-1}\)
\(\frac{\mathrm d y}{\mathrm d x} = 2x - (- x^{-2})\)
= \(2x + \frac{1}{x^{2}}\)
Source: Myschool Past Questions Archive (Record #3342)