Derivatives of Powers of linear expressions

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Find the derivative $\;\;\;\frac{d}{dx}\left(7x^{\frac{-10}{7}}-9x\right)^{-5}$

**Answer**

$\;\;\;\frac{d}{dx}\left(7x^{\frac{-10}{7}}-9x\right)^{-5}$

$=-5\left(7x^{\frac{-10}{7}}-9x\right)^{-6}\left(-10x^{\frac{-17}{7}}-9\right)$