What is the derivative of x^{5/8} ?

The derivative of x^{5/8} is 5/(8x^{3/8)}

What is the first derivative of x^{5/8} ?

The first derivative of x^{5/8} is 5/(8x^{3/8)}

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derivative of

x^{\frac{5}{8}}

\frac{5}{8 x ^{\frac{3}{8}}}

Solution steps

\frac{d}{d x} (x^{\frac{5}{8}})

Apply the Power Rule:

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

= \frac{5}{8} x^{\frac{5}{8} - 1}

Simplify

\frac{5}{8} x^{\frac{5}{8} - 1} : \frac{5}{8 x ^{\frac{3}{8}}}

= \frac{5}{8 x ^{\frac{3}{8}}}

x \to - 1 lim ((x + 2 x^{4})^{5})

t y^{^{'}} = 2 y - 3 t^{3} cos (4 t)

\int \frac{5}{2 + 5 x} d x

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

\frac{d}{d x} ((sin (5 x))^{2})

What is the derivative of x^{5/8} ?
The derivative of x^{5/8} is 5/(8x^{3/8)}
What is the first derivative of x^{5/8} ?
The first derivative of x^{5/8} is 5/(8x^{3/8)}