What is the derivative of x^{3/5} ?

The derivative of x^{3/5} is 3/(5x^{2/5)}

What is the first derivative of x^{3/5} ?

The first derivative of x^{3/5} is 3/(5x^{2/5)}

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derivative of

x^{\frac{3}{5}}

\frac{3}{5 x ^{\frac{2}{5}}}

Solution steps

\frac{d}{d x} (x^{\frac{3}{5}})

Apply the Power Rule:

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

= \frac{3}{5} x^{\frac{3}{5} - 1}

Simplify

\frac{3}{5} x^{\frac{3}{5} - 1} : \frac{3}{5 x ^{\frac{2}{5}}}

= \frac{3}{5 x ^{\frac{2}{5}}}

\frac{\partial}{\partial x} (\frac{2 x - 3 y}{2 x + 3 y})

\int 3 x^{5} x^{3} + 1 d x

\int \frac{arcsin ( 6 x )}{1 - 36 x ^{2}} d x

y = x^{\frac{1}{x}}

\int e^{- 4 x} sin (x) d x

What is the derivative of x^{3/5} ?
The derivative of x^{3/5} is 3/(5x^{2/5)}
What is the first derivative of x^{3/5} ?
The first derivative of x^{3/5} is 3/(5x^{2/5)}