Standard Derivative Applied to Negative Indices - Questions

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Question 1
12446

Given that \(f(x) =\dfrac{1}{x} + \dfrac{1}{{{x^2}}}\) then \(f'(x) =\) 

A.

\( - \dfrac{1}{{{x^2}}} - \dfrac{2}{{{x^3}}}\)

B.

\( - \dfrac{1}{{{x^2}}} + \dfrac{1}{{{x^3}}}\)

C.

\(\dfrac{1}{{{x^2}}} - \dfrac{2}{{{x^3}}}\)

D.

\( - \dfrac{1}{{{x^2}}} + \dfrac{1}{{{x^3}}}\)

\( - \dfrac{1}{{{x^2}}} - \dfrac{2}{{{x^3}}}\)

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