A. \(\frac{3}{{{x^2}}} + \frac{2}{{{x^4}}} - \frac{7}{{{x^6}}} + \frac{6}{{{x^{10}}}}\)
B. \( - \frac{3}{{{x^2}}} - \frac{2}{{{x^4}}} + \frac{7}{{{x^6}}} - \frac{6}{{{x^{10}}}}\)
C. \( - \frac{3}{{{x^2}}} - \frac{4}{{{x^3}}} + \frac{{21}}{{{x^4}}} - \frac{{30}}{{{x^6}}}\)
D. \(3 + \frac{1}{x} - \frac{7}{{3{x^2}}} + \frac{6}{{5{x^4}}}\)
C
\(y' = 3.\frac{{ - 1}}{{{x^2}}} + 2.\frac{{ - 2x}}{{{x^4}}} - 7.\frac{{ - 3{x^2}}}{{{x^6}}} + 6.\frac{{ - 5{x^4}}}{{{x^{10}}}} = - \frac{3}{{{x^2}}} - \frac{4}{{{x^3}}} + \frac{{21}}{{{x^4}}} - \frac{{30}}{{{x^6}}}\)
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