What is the derivative of x^{4/5} ?

The derivative of x^{4/5} is 4/(5x^{1/5)}

What is the first derivative of x^{4/5} ?

The first derivative of x^{4/5} is 4/(5x^{1/5)}

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derivative of

x^{\frac{4}{5}}

\frac{4}{5 x ^{\frac{1}{5}}}

Solution steps

\frac{d}{d x} (x^{\frac{4}{5}})

Apply the Power Rule:

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

= \frac{4}{5} x^{\frac{4}{5} - 1}

Simplify

\frac{4}{5} x^{\frac{4}{5} - 1} : \frac{4}{5 x ^{\frac{1}{5}}}

= \frac{4}{5 x ^{\frac{1}{5}}}

(3 x y^{2} + 13 y) + (3 x^{2} y + 13 x) y^{^{'}} = 0

\int x^{2} - 1 d x

\frac{u}{u ^{2} + 7}

\int t^{- 1} d t

\int (4 x - \frac{4}{x}) d x

What is the derivative of x^{4/5} ?
The derivative of x^{4/5} is 4/(5x^{1/5)}
What is the first derivative of x^{4/5} ?
The first derivative of x^{4/5} is 4/(5x^{1/5)}