How do you find the derivative of $f (x) = \sqrt[5]{x}$ $f(x)=root5(x)$ ?

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Answer 1 · 2016-11-23T21:47:50

$f (x) = \sqrt[5]{x}$ $f(x)=root5x$

$f (x) = x^{\frac{1}{5}}$ $f(x)=x^(1/5)$

$f'(x)=1/5x^(-4/5)$

$f'(x)=1/[5x^(4/5)]$

How do you find the derivative of f(x)=root5(x)f(x)=5√xf(x)=root5(x)?