Mathematics, 10.07.2019 06:30, naiomireyes74p2aybs
What is the derivative of the 5th root of t^3? or, t to the power of 3/5. (i'm having difficulty finding a place that clearly explains the hows of dealing with fraction exponent derivatives.)
Answers: 1
![\bf y=t^{\frac{3}{5}}\implies \cfrac{dy}{dt}=\stackrel{\textit{using the power rule}}{\cfrac{3}{5}t^{\frac{3}{5}-1}}\implies \cfrac{dy}{dt}=\cfrac{3}{5}t^{-\frac{2}{5}} \\\\\\ \cfrac{dy}{dt}=\cfrac{3}{5t^{\frac{2}{5}}}\implies \cfrac{dy}{dt}=\cfrac{3}{5\sqrt[5]{t^2}}](/tpl/images/0072/2889/55f6f.png)
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What is the derivative of the 5th root of t^3? or, t to the power of 3/5. (i'm having difficulty f...
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