If y = x2 - \(\frac{1}{x}\), find \(\frac{\delta y}{\delta x}\)
A
2x - \(\frac{1}{x^2}\)
B
2x + x2
C
2x - x2
D
2x + \(\frac{1}{x^2}\)
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
y = x2 - \(\frac{1}{x}\)
y = x2 - x-1
\(\frac{\delta y}{\delta x}\) = 2x + x-2
\(\frac{\delta y}{\delta x}\) = 2x + \(\frac{1}{x^2}\)
Source: Myschool Past Questions Archive (Record #27341)