What is the derivative of x^{5/6} ?

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

What is the first derivative of x^{5/6} ?

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

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derivative of

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

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

Solution steps

\frac{d}{d x} (x^{\frac{5}{6}})

Apply the Power Rule:

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

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

Simplify

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

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

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