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Differentiate w.r.t. x
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\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1}{9}x^{-1})
Calculate 3 to the power of -2 and get \frac{1}{9}.
-\frac{1}{9}x^{-1-1}
The derivative of ax^{n} is nax^{n-1}.
-\frac{1}{9}x^{-2}
Subtract 1 from -1.
\frac{1}{9}x^{-1}
Calculate 3 to the power of -2 and get \frac{1}{9}.