Derivatives of Powers of linear expressions

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Find the derivative $\;\;\;\frac{d}{dx}\left(5x-7x^{\frac{8}{5}}\right)^{4}$

**Answer**

$\;\;\;\frac{d}{dx}\left(5x-7x^{\frac{8}{5}}\right)^{4}$

$=4\left(5x-7x^{\frac{8}{5}}\right)^{3}\left(5-\frac{56}{5}x^{\frac{3}{5}}\right)$