# Find dy/dx for y=x^(-2/9)

Find $\frac{dy}{dx}$ for $y={x}^{-2/9}$
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i4epdp
$y={x}^{-2/9}$
Use power rule which is $\frac{d}{dx}\left[{x}^{n}\right]=n{x}^{n-1}$
So, $\frac{dy}{dx}=-\frac{2}{9}{x}^{-11/9}$ (I just moved ${x}^{-11/9}$ to the denominator which made it positive 11/9).
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on2t1inf8b
using $\left[{x}^{n}{\right]}^{\prime }=n{x}^{n-1}$
we have:
$\frac{dy}{dx}=-\frac{2}{9}{x}^{-\frac{2}{9}-1}=-\frac{2}{9}{x}^{-\frac{11}{9}}$