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Question #e4dda

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Jul 30, 2017

$\frac{1}{5} x^{- \frac{4}{5}}$ $1/5x^(-4/5)$

Explanation:

$differentiate using the power rule$ $"differentiate using the "color(blue)"power rule"$

$∙ x \frac{d}{d x} (a x^{n}) = n a x^{n - 1}$ $•color(white)(x)d/dx(ax^n)=nax^(n-1)$

$\Rightarrow \frac{d}{d x} (x^{\frac{1}{5}}) = \frac{1}{5} x^{- \frac{4}{5}}$ $rArrd/dx(x^(1/5))=1/5x^(-4/5)$

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