![\bf y=(6+3x)^{\frac{2}{3}}\implies \cfrac{dy}{dx}=\stackrel{chain~rule}{\cfrac{2}{3}(6+3x)^{\frac{2}{3}-1}\cdot (0+3)} \\\\\\ \cfrac{dy}{dx}=\cfrac{2}{3}(6+3x)^{-\frac{1}{3}}\cdot 3\implies \cfrac{dy}{dx}=2(6+3x)^{-\frac{1}{3}}\implies \cfrac{dy}{dx}=\cfrac{2}{\sqrt[3]{6+3x}}](/tpl/images/0337/3194/11835.png)
Y=(6+3x)^2/3 find the derivative of the function using the chain rule
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Mathematics, 20.10.2019 15:10, chartrow7
Y=(6+3x)^2/3 find the derivative of the function using the chain rule
Answers: 2
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