What is the derivative of x^{6/7} ?

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

What is the first derivative of x^{6/7} ?

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

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derivative of

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

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

Solution steps

\frac{d}{d x} (x^{\frac{6}{7}})

Apply the Power Rule:

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

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

Simplify

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

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

\int x^{8} e^{x^{9}} d x

\frac{d}{d x} (\frac{x ^{2}}{4 ^{x}})

\frac{d x}{d y} + 3 x y^{3} = 0

3 y^{2} - 2 x^{2} = 6 - 2 x y, (3, 2)

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