How do you find the derivative of $x^{\frac{2}{5}}$ $x^(2/5)$ ?

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Answer 1 · 2015-06-04T19:32:11

The power rule states that for $y = a^{n}$ $y=a^n$ , $y'=n*a^(n-1)$

$y'=x^(2/5-1)=x^(-3/5)$

Also, one exponential law says that $a^(m/n)=root(n)(a^m)$ . Thus,

$y'=1/root(5)(x^3)$

How do you find the derivative of x^(2/5)x25x^(2/5)?