What is the derivative of $\sqrt{x^{5}}$ $sqrt(x^5)$ ?

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What is the derivative of $\sqrt{x^{5}}$ $sqrt(x^5)$ ?

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Answer 1 · 2015-04-12T03:20:34

Write it as: $x^{\frac{5}{2}}$ $x^(5/2)$ and the derive it as $x^{n}$ $x^n$ (giving $n x^{n - 1}$ $nx^(n-1)$ ):
$y'=5/2x^(5/2-1)=5/2x^(3/2)=5/2sqrt(x^3)$

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What is the derivative of $\sqrt{x^{5}}$ $sqrt(x^5)$ ?

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