What is the derivative of x^{1/7} ?

The derivative of x^{1/7} is 1/(7x^{6/7)}

What is the first derivative of x^{1/7} ?

The first derivative of x^{1/7} is 1/(7x^{6/7)}

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derivative of

x^{\frac{1}{7}}

\frac{1}{7 x ^{\frac{6}{7}}}

Solution steps

\frac{d}{d x} (x^{\frac{1}{7}})

Apply the Power Rule:

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

= \frac{1}{7} x^{\frac{1}{7} - 1}

Simplify

\frac{1}{7} x^{\frac{1}{7} - 1} : \frac{1}{7 x ^{\frac{6}{7}}}

= \frac{1}{7 x ^{\frac{6}{7}}}

\frac{d}{d y} ((x + y) e^{y})

\frac{d}{d x} ((4 + 8 x) cos (1 - x))

\frac{d}{d x} ((x + 1) (x^{3} + 3))

\int \frac{4 x + 1}{2 x ^{2} + x - 3} d x

\frac{4}{s ( s ^{2} + 4 )}

What is the derivative of x^{1/7} ?
The derivative of x^{1/7} is 1/(7x^{6/7)}
What is the first derivative of x^{1/7} ?
The first derivative of x^{1/7} is 1/(7x^{6/7)}