What is the derivative of x^{3/7} ?

The derivative of x^{3/7} is 3/(7x^{4/7)}

What is the first derivative of x^{3/7} ?

The first derivative of x^{3/7} is 3/(7x^{4/7)}

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derivative of

x^{\frac{3}{7}}

\frac{3}{7 x ^{\frac{4}{7}}}

Solution steps

\frac{d}{d x} (x^{\frac{3}{7}})

Apply the Power Rule:

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

= \frac{3}{7} x^{\frac{3}{7} - 1}

Simplify

\frac{3}{7} x^{\frac{3}{7} - 1} : \frac{3}{7 x ^{\frac{4}{7}}}

= \frac{3}{7 x ^{\frac{4}{7}}}

\frac{d y}{d x} + \frac{4 y}{x} = - 3 x

\int (2 x + 1) e^{3 x} d x

\frac{3}{x ^{13}}

\frac{d}{d x} (3 x^{3} y - y^{3})

What is the derivative of x^{3/7} ?
The derivative of x^{3/7} is 3/(7x^{4/7)}
What is the first derivative of x^{3/7} ?
The first derivative of x^{3/7} is 3/(7x^{4/7)}