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Find the derivative of $f(x)=3x^{-\frac{1}{9}}$.

A

$-\dfrac{1}{3}x^{-\frac{10}{9}}$

B

$\dfrac{1}{3}x^{-\frac{10}{9}}$

C

$3x^{-\frac{2}{9}}$

D

$-\dfrac{1}{9}x^{-\frac{10}{9}}$

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