What is the derivative of x^{-1/5} ?

The derivative of x^{-1/5} is -1/(5x^{6/5)}

What is the first derivative of x^{-1/5} ?

The first derivative of x^{-1/5} is -1/(5x^{6/5)}

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\frac{d}{d x} (x^{- \frac{1}{5}})

- \frac{1}{5 x ^{\frac{6}{5}}}

Solution steps

\frac{d}{d x} (x^{- \frac{1}{5}})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= - \frac{1}{5} x^{- \frac{1}{5} - 1}

Simplify

- \frac{1}{5} x^{- \frac{1}{5} - 1} : - \frac{1}{5 x ^{\frac{6}{5}}}

= - \frac{1}{5 x ^{\frac{6}{5}}}

\int \frac{x}{x ^{4} x ^{4} - x ^{2}} d x

d er i v a t i v e f (x) = (x + 1) (x + 1 - \frac{1}{x + 2})

in v erse l a pl a ce \frac{s - 1}{s ( s + 2.5 )}

\frac{\partial}{\partial x} (3 x z e^{4 x y})

x \to - 3 lim (3 x^{2} - 4 x + 1)

What is the derivative of x^{-1/5} ?
The derivative of x^{-1/5} is -1/(5x^{6/5)}
What is the first derivative of x^{-1/5} ?
The first derivative of x^{-1/5} is -1/(5x^{6/5)}